Submission #920878

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
920878	2024-02-03T07:12:43 Z	yellowtoad	Mergers (JOI19_mergers)	C++17	100 / 100	1611 ms	180580 KB

mergers

#include <iostream>
#include <vector>
using namespace std;

int n, k, p[500010][20], d[500010], vis[500010], cnt, ans;
vector<int> edge[500010], a[500010], adj[500010], tmp, ed[500010];

void build(int u, int v, int depth) {
	adj[u].push_back(v);
	p[u][0] = v;
	d[u] = depth;
	for (int i = 1; i < 20; i++) p[u][i] = p[p[u][i-1]][i-1];
	for (int i = 0; i < edge[u].size(); i++) if (edge[u][i] != v) build(edge[u][i],u,depth+1);
}

int lca(int u, int v) {
	if (d[u] < d[v]) swap(u,v);
	int i = 19;
	while (i >= 0) {
		if (d[p[u][i]] >= d[v]) u = p[u][i];
		i--;
	}
	if (u == v) return u;
	i = 19;
	while (i >= 0) {
		if (p[u][i] != p[v][i]) u = p[u][i], v = p[v][i];
		i--;
	}
	return p[u][0];
}

void dfs(int u) {
	vis[u] = cnt;
	for (int i = 0; i < edge[u].size(); i++) if (edge[u][i] != p[u][0]) tmp.push_back(edge[u][i]);
	for (int i = 0; i < adj[u].size(); i++) if (!vis[adj[u][i]]) dfs(adj[u][i]);
}

int main() {
	cin >> n >> k;
	for (int i = 1; i < n; i++) {
		int u, v;
		cin >> u >> v;
		edge[u].push_back(v);
		edge[v].push_back(u);
	}
	for (int i = 1; i <= n; i++) {
		int u;
		cin >> u;
		a[u].push_back(i);
	}
	build(1,0,1);
	for (int i = 1; i <= k; i++) {
		int lcaa = a[i][0];
		for (int j = 1; j < a[i].size(); j++) lcaa = lca(lcaa,a[i][j]);
		for (int j = 0; j < a[i].size(); j++) adj[lcaa].push_back(a[i][j]);
	}
	tmp.push_back(1);
	while (tmp.size()) {
		int u = tmp.back();
		tmp.pop_back();
		if (vis[u]) continue;
		cnt++;
		dfs(u);
	}
	for (int i = 1; i <= n; i++) {
		if (vis[i] != vis[p[i][0]]) {
			ed[vis[p[i][0]]].push_back(vis[i]);
			ed[vis[i]].push_back(vis[p[i][0]]);
		}
	}
	for (int i = 1; i <= cnt; i++) if (ed[i].size() <= 1) ans++;
	if (cnt == 1) cout << 0 << endl;
	else cout << (ans+1)/2 << endl;
}

Compilation message

mergers.cpp: In function 'void build(int, int, int)':
mergers.cpp:13:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   13 |  for (int i = 0; i < edge[u].size(); i++) if (edge[u][i] != v) build(edge[u][i],u,depth+1);
      |                  ~~^~~~~~~~~~~~~~~~
mergers.cpp: In function 'void dfs(int)':
mergers.cpp:34:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   34 |  for (int i = 0; i < edge[u].size(); i++) if (edge[u][i] != p[u][0]) tmp.push_back(edge[u][i]);
      |                  ~~^~~~~~~~~~~~~~~~
mergers.cpp:35:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   35 |  for (int i = 0; i < adj[u].size(); i++) if (!vis[adj[u][i]]) dfs(adj[u][i]);
      |                  ~~^~~~~~~~~~~~~~~
mergers.cpp: In function 'int main()':
mergers.cpp:54:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   54 |   for (int j = 1; j < a[i].size(); j++) lcaa = lca(lcaa,a[i][j]);
      |                   ~~^~~~~~~~~~~~~
mergers.cpp:55:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |   for (int j = 0; j < a[i].size(); j++) adj[lcaa].push_back(a[i][j]);
      |                   ~~^~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	16 ms	52056 KB	Output is correct
2	Correct	13 ms	51804 KB	Output is correct
3	Correct	13 ms	51804 KB	Output is correct
4	Correct	14 ms	51804 KB	Output is correct
5	Correct	13 ms	51804 KB	Output is correct
6	Correct	13 ms	51804 KB	Output is correct
7	Correct	13 ms	51800 KB	Output is correct
8	Correct	14 ms	51804 KB	Output is correct
9	Correct	14 ms	51804 KB	Output is correct
10	Correct	14 ms	51696 KB	Output is correct
11	Correct	14 ms	51804 KB	Output is correct
12	Correct	14 ms	51804 KB	Output is correct
13	Correct	15 ms	51700 KB	Output is correct
14	Correct	14 ms	51804 KB	Output is correct
15	Correct	14 ms	51800 KB	Output is correct
16	Correct	13 ms	51804 KB	Output is correct
17	Correct	13 ms	51804 KB	Output is correct
18	Correct	14 ms	51896 KB	Output is correct
19	Correct	13 ms	51804 KB	Output is correct
20	Correct	13 ms	51804 KB	Output is correct
21	Correct	14 ms	51916 KB	Output is correct
22	Correct	12 ms	51804 KB	Output is correct
23	Correct	13 ms	51804 KB	Output is correct
24	Correct	14 ms	51804 KB	Output is correct

Subtask #2
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	16 ms	52056 KB	Output is correct
2	Correct	13 ms	51804 KB	Output is correct
3	Correct	13 ms	51804 KB	Output is correct
4	Correct	14 ms	51804 KB	Output is correct
5	Correct	13 ms	51804 KB	Output is correct
6	Correct	13 ms	51804 KB	Output is correct
7	Correct	13 ms	51800 KB	Output is correct
8	Correct	14 ms	51804 KB	Output is correct
9	Correct	14 ms	51804 KB	Output is correct
10	Correct	14 ms	51696 KB	Output is correct
11	Correct	14 ms	51804 KB	Output is correct
12	Correct	14 ms	51804 KB	Output is correct
13	Correct	15 ms	51700 KB	Output is correct
14	Correct	14 ms	51804 KB	Output is correct
15	Correct	14 ms	51800 KB	Output is correct
16	Correct	13 ms	51804 KB	Output is correct
17	Correct	13 ms	51804 KB	Output is correct
18	Correct	14 ms	51896 KB	Output is correct
19	Correct	13 ms	51804 KB	Output is correct
20	Correct	13 ms	51804 KB	Output is correct
21	Correct	14 ms	51916 KB	Output is correct
22	Correct	12 ms	51804 KB	Output is correct
23	Correct	13 ms	51804 KB	Output is correct
24	Correct	14 ms	51804 KB	Output is correct
25	Correct	13 ms	51800 KB	Output is correct
26	Correct	19 ms	52056 KB	Output is correct
27	Correct	15 ms	52060 KB	Output is correct
28	Correct	17 ms	52316 KB	Output is correct
29	Correct	17 ms	52180 KB	Output is correct
30	Correct	16 ms	52060 KB	Output is correct
31	Correct	15 ms	52060 KB	Output is correct
32	Correct	16 ms	52312 KB	Output is correct
33	Correct	12 ms	51804 KB	Output is correct
34	Correct	15 ms	52056 KB	Output is correct
35	Correct	16 ms	52316 KB	Output is correct
36	Correct	16 ms	52060 KB	Output is correct
37	Correct	16 ms	52060 KB	Output is correct
38	Correct	13 ms	52056 KB	Output is correct
39	Correct	17 ms	52060 KB	Output is correct
40	Correct	16 ms	52056 KB	Output is correct
41	Correct	16 ms	52060 KB	Output is correct
42	Correct	16 ms	52060 KB	Output is correct
43	Correct	16 ms	52316 KB	Output is correct
44	Correct	13 ms	51804 KB	Output is correct
45	Correct	16 ms	52060 KB	Output is correct
46	Correct	17 ms	52188 KB	Output is correct
47	Correct	13 ms	51804 KB	Output is correct
48	Correct	16 ms	52060 KB	Output is correct
49	Correct	18 ms	52196 KB	Output is correct
50	Correct	16 ms	52316 KB	Output is correct
51	Correct	17 ms	52060 KB	Output is correct
52	Correct	19 ms	52188 KB	Output is correct
53	Correct	18 ms	52360 KB	Output is correct
54	Correct	15 ms	52056 KB	Output is correct

Subtask #3
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	16 ms	52056 KB	Output is correct
2	Correct	13 ms	51804 KB	Output is correct
3	Correct	13 ms	51804 KB	Output is correct
4	Correct	14 ms	51804 KB	Output is correct
5	Correct	13 ms	51804 KB	Output is correct
6	Correct	13 ms	51804 KB	Output is correct
7	Correct	13 ms	51800 KB	Output is correct
8	Correct	14 ms	51804 KB	Output is correct
9	Correct	14 ms	51804 KB	Output is correct
10	Correct	14 ms	51696 KB	Output is correct
11	Correct	14 ms	51804 KB	Output is correct
12	Correct	14 ms	51804 KB	Output is correct
13	Correct	15 ms	51700 KB	Output is correct
14	Correct	14 ms	51804 KB	Output is correct
15	Correct	14 ms	51800 KB	Output is correct
16	Correct	13 ms	51804 KB	Output is correct
17	Correct	13 ms	51804 KB	Output is correct
18	Correct	14 ms	51896 KB	Output is correct
19	Correct	13 ms	51804 KB	Output is correct
20	Correct	13 ms	51804 KB	Output is correct
21	Correct	14 ms	51916 KB	Output is correct
22	Correct	12 ms	51804 KB	Output is correct
23	Correct	13 ms	51804 KB	Output is correct
24	Correct	14 ms	51804 KB	Output is correct
25	Correct	13 ms	51804 KB	Output is correct
26	Correct	131 ms	69712 KB	Output is correct
27	Correct	165 ms	69348 KB	Output is correct
28	Correct	16 ms	52056 KB	Output is correct
29	Correct	14 ms	52056 KB	Output is correct
30	Correct	13 ms	51804 KB	Output is correct
31	Correct	154 ms	68808 KB	Output is correct
32	Correct	18 ms	52056 KB	Output is correct
33	Correct	206 ms	75180 KB	Output is correct
34	Correct	177 ms	69540 KB	Output is correct
35	Correct	16 ms	52060 KB	Output is correct
36	Correct	152 ms	69456 KB	Output is correct
37	Correct	16 ms	52312 KB	Output is correct
38	Correct	16 ms	52060 KB	Output is correct
39	Correct	146 ms	69648 KB	Output is correct
40	Correct	17 ms	52312 KB	Output is correct
41	Correct	139 ms	69204 KB	Output is correct
42	Correct	158 ms	71104 KB	Output is correct
43	Correct	12 ms	51804 KB	Output is correct
44	Correct	163 ms	75232 KB	Output is correct
45	Correct	159 ms	72444 KB	Output is correct
46	Correct	16 ms	52056 KB	Output is correct
47	Correct	18 ms	52060 KB	Output is correct

Subtask #4
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	145 ms	69648 KB	Output is correct
2	Correct	166 ms	75412 KB	Output is correct
3	Correct	16 ms	52056 KB	Output is correct
4	Correct	16 ms	52056 KB	Output is correct
5	Correct	13 ms	51800 KB	Output is correct
6	Correct	13 ms	51800 KB	Output is correct
7	Correct	15 ms	52056 KB	Output is correct
8	Correct	216 ms	70536 KB	Output is correct
9	Correct	16 ms	52060 KB	Output is correct
10	Correct	145 ms	68944 KB	Output is correct
11	Correct	13 ms	51896 KB	Output is correct
12	Correct	158 ms	68948 KB	Output is correct
13	Correct	172 ms	70468 KB	Output is correct
14	Correct	201 ms	74572 KB	Output is correct
15	Correct	130 ms	69708 KB	Output is correct
16	Correct	16 ms	52060 KB	Output is correct
17	Correct	14 ms	51804 KB	Output is correct
18	Correct	159 ms	74704 KB	Output is correct
19	Correct	201 ms	77520 KB	Output is correct
20	Correct	17 ms	52056 KB	Output is correct
21	Correct	13 ms	51912 KB	Output is correct
22	Correct	176 ms	71116 KB	Output is correct
23	Correct	17 ms	52056 KB	Output is correct
24	Correct	179 ms	69580 KB	Output is correct
25	Correct	193 ms	76372 KB	Output is correct
26	Correct	16 ms	52316 KB	Output is correct
27	Correct	17 ms	52316 KB	Output is correct
28	Correct	16 ms	52168 KB	Output is correct
29	Correct	16 ms	52048 KB	Output is correct
30	Correct	16 ms	52060 KB	Output is correct

Subtask #5
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	16 ms	52056 KB	Output is correct
2	Correct	13 ms	51804 KB	Output is correct
3	Correct	13 ms	51804 KB	Output is correct
4	Correct	14 ms	51804 KB	Output is correct
5	Correct	13 ms	51804 KB	Output is correct
6	Correct	13 ms	51804 KB	Output is correct
7	Correct	13 ms	51800 KB	Output is correct
8	Correct	14 ms	51804 KB	Output is correct
9	Correct	14 ms	51804 KB	Output is correct
10	Correct	14 ms	51696 KB	Output is correct
11	Correct	14 ms	51804 KB	Output is correct
12	Correct	14 ms	51804 KB	Output is correct
13	Correct	15 ms	51700 KB	Output is correct
14	Correct	14 ms	51804 KB	Output is correct
15	Correct	14 ms	51800 KB	Output is correct
16	Correct	13 ms	51804 KB	Output is correct
17	Correct	13 ms	51804 KB	Output is correct
18	Correct	14 ms	51896 KB	Output is correct
19	Correct	13 ms	51804 KB	Output is correct
20	Correct	13 ms	51804 KB	Output is correct
21	Correct	14 ms	51916 KB	Output is correct
22	Correct	12 ms	51804 KB	Output is correct
23	Correct	13 ms	51804 KB	Output is correct
24	Correct	14 ms	51804 KB	Output is correct
25	Correct	13 ms	51800 KB	Output is correct
26	Correct	19 ms	52056 KB	Output is correct
27	Correct	15 ms	52060 KB	Output is correct
28	Correct	17 ms	52316 KB	Output is correct
29	Correct	17 ms	52180 KB	Output is correct
30	Correct	16 ms	52060 KB	Output is correct
31	Correct	15 ms	52060 KB	Output is correct
32	Correct	16 ms	52312 KB	Output is correct
33	Correct	12 ms	51804 KB	Output is correct
34	Correct	15 ms	52056 KB	Output is correct
35	Correct	16 ms	52316 KB	Output is correct
36	Correct	16 ms	52060 KB	Output is correct
37	Correct	16 ms	52060 KB	Output is correct
38	Correct	13 ms	52056 KB	Output is correct
39	Correct	17 ms	52060 KB	Output is correct
40	Correct	16 ms	52056 KB	Output is correct
41	Correct	16 ms	52060 KB	Output is correct
42	Correct	16 ms	52060 KB	Output is correct
43	Correct	16 ms	52316 KB	Output is correct
44	Correct	13 ms	51804 KB	Output is correct
45	Correct	16 ms	52060 KB	Output is correct
46	Correct	17 ms	52188 KB	Output is correct
47	Correct	13 ms	51804 KB	Output is correct
48	Correct	16 ms	52060 KB	Output is correct
49	Correct	18 ms	52196 KB	Output is correct
50	Correct	16 ms	52316 KB	Output is correct
51	Correct	17 ms	52060 KB	Output is correct
52	Correct	19 ms	52188 KB	Output is correct
53	Correct	18 ms	52360 KB	Output is correct
54	Correct	15 ms	52056 KB	Output is correct
55	Correct	13 ms	51804 KB	Output is correct
56	Correct	131 ms	69712 KB	Output is correct
57	Correct	165 ms	69348 KB	Output is correct
58	Correct	16 ms	52056 KB	Output is correct
59	Correct	14 ms	52056 KB	Output is correct
60	Correct	13 ms	51804 KB	Output is correct
61	Correct	154 ms	68808 KB	Output is correct
62	Correct	18 ms	52056 KB	Output is correct
63	Correct	206 ms	75180 KB	Output is correct
64	Correct	177 ms	69540 KB	Output is correct
65	Correct	16 ms	52060 KB	Output is correct
66	Correct	152 ms	69456 KB	Output is correct
67	Correct	16 ms	52312 KB	Output is correct
68	Correct	16 ms	52060 KB	Output is correct
69	Correct	146 ms	69648 KB	Output is correct
70	Correct	17 ms	52312 KB	Output is correct
71	Correct	139 ms	69204 KB	Output is correct
72	Correct	158 ms	71104 KB	Output is correct
73	Correct	12 ms	51804 KB	Output is correct
74	Correct	163 ms	75232 KB	Output is correct
75	Correct	159 ms	72444 KB	Output is correct
76	Correct	16 ms	52056 KB	Output is correct
77	Correct	18 ms	52060 KB	Output is correct
78	Correct	145 ms	69648 KB	Output is correct
79	Correct	166 ms	75412 KB	Output is correct
80	Correct	16 ms	52056 KB	Output is correct
81	Correct	16 ms	52056 KB	Output is correct
82	Correct	13 ms	51800 KB	Output is correct
83	Correct	13 ms	51800 KB	Output is correct
84	Correct	15 ms	52056 KB	Output is correct
85	Correct	216 ms	70536 KB	Output is correct
86	Correct	16 ms	52060 KB	Output is correct
87	Correct	145 ms	68944 KB	Output is correct
88	Correct	13 ms	51896 KB	Output is correct
89	Correct	158 ms	68948 KB	Output is correct
90	Correct	172 ms	70468 KB	Output is correct
91	Correct	201 ms	74572 KB	Output is correct
92	Correct	130 ms	69708 KB	Output is correct
93	Correct	16 ms	52060 KB	Output is correct
94	Correct	14 ms	51804 KB	Output is correct
95	Correct	159 ms	74704 KB	Output is correct
96	Correct	201 ms	77520 KB	Output is correct
97	Correct	17 ms	52056 KB	Output is correct
98	Correct	13 ms	51912 KB	Output is correct
99	Correct	176 ms	71116 KB	Output is correct
100	Correct	17 ms	52056 KB	Output is correct
101	Correct	179 ms	69580 KB	Output is correct
102	Correct	193 ms	76372 KB	Output is correct
103	Correct	16 ms	52316 KB	Output is correct
104	Correct	17 ms	52316 KB	Output is correct
105	Correct	16 ms	52168 KB	Output is correct
106	Correct	16 ms	52048 KB	Output is correct
107	Correct	16 ms	52060 KB	Output is correct
108	Correct	985 ms	145284 KB	Output is correct
109	Correct	1283 ms	150208 KB	Output is correct
110	Correct	1308 ms	159944 KB	Output is correct
111	Correct	1575 ms	180580 KB	Output is correct
112	Correct	1518 ms	169340 KB	Output is correct
113	Correct	1119 ms	164540 KB	Output is correct
114	Correct	1018 ms	136096 KB	Output is correct
115	Correct	1035 ms	136684 KB	Output is correct
116	Correct	1399 ms	139332 KB	Output is correct
117	Correct	1447 ms	164028 KB	Output is correct
118	Correct	1077 ms	135124 KB	Output is correct
119	Correct	1421 ms	164456 KB	Output is correct
120	Correct	1611 ms	174896 KB	Output is correct
121	Correct	1463 ms	164176 KB	Output is correct
122	Correct	1302 ms	148104 KB	Output is correct
123	Correct	1106 ms	169000 KB	Output is correct
124	Correct	1481 ms	155744 KB	Output is correct

Submission #920878

Compilation message

Subtask #1 10.0 / 10.0

Subtask #2 24.0 / 24.0

Subtask #3 14.0 / 14.0

Subtask #4 22.0 / 22.0

Subtask #5 30.0 / 30.0

Subtask #1
10.0 / 10.0

Subtask #2
24.0 / 24.0

Subtask #3
14.0 / 14.0

Subtask #4
22.0 / 22.0

Subtask #5
30.0 / 30.0