Submission #472194

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
472194	2021-09-13T09:11:32 Z	prvocislo	Mergers (JOI19_mergers)	C++17	100 / 100	883 ms	75404 KB

mergers

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

const int maxn = 5e5 + 5;
int n, k, t = 0;
int l[maxn], r[maxn];
int ls[maxn], rs[maxn], s[maxn];
int l2[maxn], r2[maxn];
vector<int> g[maxn];
bool c[maxn];
void dfs_time(int u, int p = -1)
{
	l[u] = t++;
	for (int v : g[u]) if (v != p) dfs_time(v, u);
	r[u] = t - 1;
}
void dfs_critical(int u, int p = -1)
{
	l2[u] = min(l[u], ls[s[u]]);
	r2[u] = max(r[u], rs[s[u]]);
	for (int v : g[u]) if (v != p)
	{
		dfs_critical(v, u);
		l2[u] = min(l2[u], l2[v]);
		r2[u] = max(r2[u], r2[v]);
	}
	if (u && l[u] == l2[u] && r[u] == r2[u])
		c[u] = true;
}
int cuts = 0;
bool dfs_cover(int u, int p = -1)
{
	bool is_covered = false;
	for (int v : g[u]) if (v != p) is_covered |= dfs_cover(v, u);
	if (!is_covered && c[u])
	{
		cuts++;
		return true;
	}
	return is_covered;
}
int dfs_cuts_root_can_reach(int u, int p = -1)
{
	if (c[u]) return 1;
	int sum = 0;
	for (int v : g[u]) if (v != p) sum += dfs_cuts_root_can_reach(v, u);
	return sum;
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);
	cin >> n >> k;
	for (int i = 0, a, b; i < n - 1; i++)
	{
		cin >> a >> b;
		g[--a].push_back(--b);
		g[b].push_back(a);
	}
	dfs_time(0);
	for (int i = 0; i < k; i++) ls[i] = 1e9, rs[i] = -1e9;
	for (int i = 0; i < n; i++)
	{
		cin >> s[i]; s[i]--;
		ls[s[i]] = min(ls[s[i]], l[i]);
		rs[s[i]] = max(rs[s[i]], r[i]);
	}
	dfs_critical(0);
	dfs_cover(0);
	int ans = (cuts + 1) / 2;
	int cnt = dfs_cuts_root_can_reach(0);
	if (cuts % 2 == 0 && cnt == 1) ans++; // musime to este spojit aj s korenom
	cout << ans << "\n";
	return 0;
}

Subtask #1
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	12108 KB	Output is correct
2	Correct	7 ms	12056 KB	Output is correct
3	Correct	7 ms	12108 KB	Output is correct
4	Correct	7 ms	12104 KB	Output is correct
5	Correct	7 ms	12068 KB	Output is correct
6	Correct	7 ms	12064 KB	Output is correct
7	Correct	7 ms	12108 KB	Output is correct
8	Correct	7 ms	12108 KB	Output is correct
9	Correct	7 ms	12108 KB	Output is correct
10	Correct	7 ms	12108 KB	Output is correct
11	Correct	7 ms	12064 KB	Output is correct
12	Correct	7 ms	12068 KB	Output is correct
13	Correct	7 ms	12044 KB	Output is correct
14	Correct	7 ms	12108 KB	Output is correct
15	Correct	7 ms	12108 KB	Output is correct
16	Correct	7 ms	12108 KB	Output is correct
17	Correct	7 ms	12108 KB	Output is correct
18	Correct	7 ms	12108 KB	Output is correct
19	Correct	7 ms	12108 KB	Output is correct
20	Correct	7 ms	12236 KB	Output is correct
21	Correct	7 ms	12008 KB	Output is correct
22	Correct	7 ms	12108 KB	Output is correct
23	Correct	7 ms	12108 KB	Output is correct
24	Correct	7 ms	12124 KB	Output is correct

Subtask #2
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	12108 KB	Output is correct
2	Correct	7 ms	12056 KB	Output is correct
3	Correct	7 ms	12108 KB	Output is correct
4	Correct	7 ms	12104 KB	Output is correct
5	Correct	7 ms	12068 KB	Output is correct
6	Correct	7 ms	12064 KB	Output is correct
7	Correct	7 ms	12108 KB	Output is correct
8	Correct	7 ms	12108 KB	Output is correct
9	Correct	7 ms	12108 KB	Output is correct
10	Correct	7 ms	12108 KB	Output is correct
11	Correct	7 ms	12064 KB	Output is correct
12	Correct	7 ms	12068 KB	Output is correct
13	Correct	7 ms	12044 KB	Output is correct
14	Correct	7 ms	12108 KB	Output is correct
15	Correct	7 ms	12108 KB	Output is correct
16	Correct	7 ms	12108 KB	Output is correct
17	Correct	7 ms	12108 KB	Output is correct
18	Correct	7 ms	12108 KB	Output is correct
19	Correct	7 ms	12108 KB	Output is correct
20	Correct	7 ms	12236 KB	Output is correct
21	Correct	7 ms	12008 KB	Output is correct
22	Correct	7 ms	12108 KB	Output is correct
23	Correct	7 ms	12108 KB	Output is correct
24	Correct	7 ms	12124 KB	Output is correct
25	Correct	7 ms	12108 KB	Output is correct
26	Correct	9 ms	12236 KB	Output is correct
27	Correct	9 ms	12324 KB	Output is correct
28	Correct	9 ms	12440 KB	Output is correct
29	Correct	9 ms	12236 KB	Output is correct
30	Correct	9 ms	12208 KB	Output is correct
31	Correct	7 ms	12072 KB	Output is correct
32	Correct	9 ms	12500 KB	Output is correct
33	Correct	8 ms	12108 KB	Output is correct
34	Correct	9 ms	12220 KB	Output is correct
35	Correct	10 ms	12236 KB	Output is correct
36	Correct	9 ms	12236 KB	Output is correct
37	Correct	9 ms	12324 KB	Output is correct
38	Correct	7 ms	12068 KB	Output is correct
39	Correct	9 ms	12236 KB	Output is correct
40	Correct	8 ms	12236 KB	Output is correct
41	Correct	9 ms	12204 KB	Output is correct
42	Correct	9 ms	12300 KB	Output is correct
43	Correct	9 ms	12464 KB	Output is correct
44	Correct	7 ms	12108 KB	Output is correct
45	Correct	9 ms	12360 KB	Output is correct
46	Correct	9 ms	12236 KB	Output is correct
47	Correct	7 ms	12112 KB	Output is correct
48	Correct	9 ms	12236 KB	Output is correct
49	Correct	9 ms	12336 KB	Output is correct
50	Correct	9 ms	12336 KB	Output is correct
51	Correct	9 ms	12216 KB	Output is correct
52	Correct	9 ms	12336 KB	Output is correct
53	Correct	9 ms	12240 KB	Output is correct
54	Correct	9 ms	12244 KB	Output is correct

Subtask #3
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	12108 KB	Output is correct
2	Correct	7 ms	12056 KB	Output is correct
3	Correct	7 ms	12108 KB	Output is correct
4	Correct	7 ms	12104 KB	Output is correct
5	Correct	7 ms	12068 KB	Output is correct
6	Correct	7 ms	12064 KB	Output is correct
7	Correct	7 ms	12108 KB	Output is correct
8	Correct	7 ms	12108 KB	Output is correct
9	Correct	7 ms	12108 KB	Output is correct
10	Correct	7 ms	12108 KB	Output is correct
11	Correct	7 ms	12064 KB	Output is correct
12	Correct	7 ms	12068 KB	Output is correct
13	Correct	7 ms	12044 KB	Output is correct
14	Correct	7 ms	12108 KB	Output is correct
15	Correct	7 ms	12108 KB	Output is correct
16	Correct	7 ms	12108 KB	Output is correct
17	Correct	7 ms	12108 KB	Output is correct
18	Correct	7 ms	12108 KB	Output is correct
19	Correct	7 ms	12108 KB	Output is correct
20	Correct	7 ms	12236 KB	Output is correct
21	Correct	7 ms	12008 KB	Output is correct
22	Correct	7 ms	12108 KB	Output is correct
23	Correct	7 ms	12108 KB	Output is correct
24	Correct	7 ms	12124 KB	Output is correct
25	Correct	7 ms	12108 KB	Output is correct
26	Correct	55 ms	18976 KB	Output is correct
27	Correct	83 ms	18652 KB	Output is correct
28	Correct	9 ms	12236 KB	Output is correct
29	Correct	7 ms	12108 KB	Output is correct
30	Correct	7 ms	12108 KB	Output is correct
31	Correct	82 ms	18720 KB	Output is correct
32	Correct	8 ms	12236 KB	Output is correct
33	Correct	111 ms	25784 KB	Output is correct
34	Correct	81 ms	18648 KB	Output is correct
35	Correct	10 ms	12236 KB	Output is correct
36	Correct	85 ms	19512 KB	Output is correct
37	Correct	9 ms	12308 KB	Output is correct
38	Correct	9 ms	12236 KB	Output is correct
39	Correct	58 ms	19004 KB	Output is correct
40	Correct	9 ms	12460 KB	Output is correct
41	Correct	93 ms	18596 KB	Output is correct
42	Correct	98 ms	21008 KB	Output is correct
43	Correct	7 ms	12108 KB	Output is correct
44	Correct	108 ms	26100 KB	Output is correct
45	Correct	93 ms	22392 KB	Output is correct
46	Correct	8 ms	12236 KB	Output is correct
47	Correct	9 ms	12236 KB	Output is correct

Subtask #4
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	58 ms	18996 KB	Output is correct
2	Correct	63 ms	20192 KB	Output is correct
3	Correct	9 ms	12236 KB	Output is correct
4	Correct	9 ms	12236 KB	Output is correct
5	Correct	7 ms	12108 KB	Output is correct
6	Correct	7 ms	12108 KB	Output is correct
7	Correct	9 ms	12296 KB	Output is correct
8	Correct	98 ms	19524 KB	Output is correct
9	Correct	9 ms	12316 KB	Output is correct
10	Correct	106 ms	18848 KB	Output is correct
11	Correct	8 ms	12108 KB	Output is correct
12	Correct	86 ms	18844 KB	Output is correct
13	Correct	99 ms	19420 KB	Output is correct
14	Correct	90 ms	19784 KB	Output is correct
15	Correct	58 ms	19000 KB	Output is correct
16	Correct	9 ms	12284 KB	Output is correct
17	Correct	8 ms	12124 KB	Output is correct
18	Correct	62 ms	20000 KB	Output is correct
19	Correct	103 ms	23748 KB	Output is correct
20	Correct	9 ms	12236 KB	Output is correct
21	Correct	7 ms	12068 KB	Output is correct
22	Correct	61 ms	19684 KB	Output is correct
23	Correct	10 ms	12236 KB	Output is correct
24	Correct	96 ms	19012 KB	Output is correct
25	Correct	98 ms	22532 KB	Output is correct
26	Correct	8 ms	12236 KB	Output is correct
27	Correct	8 ms	12280 KB	Output is correct
28	Correct	9 ms	12204 KB	Output is correct
29	Correct	9 ms	12208 KB	Output is correct
30	Correct	9 ms	12344 KB	Output is correct

Subtask #5
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	12108 KB	Output is correct
2	Correct	7 ms	12056 KB	Output is correct
3	Correct	7 ms	12108 KB	Output is correct
4	Correct	7 ms	12104 KB	Output is correct
5	Correct	7 ms	12068 KB	Output is correct
6	Correct	7 ms	12064 KB	Output is correct
7	Correct	7 ms	12108 KB	Output is correct
8	Correct	7 ms	12108 KB	Output is correct
9	Correct	7 ms	12108 KB	Output is correct
10	Correct	7 ms	12108 KB	Output is correct
11	Correct	7 ms	12064 KB	Output is correct
12	Correct	7 ms	12068 KB	Output is correct
13	Correct	7 ms	12044 KB	Output is correct
14	Correct	7 ms	12108 KB	Output is correct
15	Correct	7 ms	12108 KB	Output is correct
16	Correct	7 ms	12108 KB	Output is correct
17	Correct	7 ms	12108 KB	Output is correct
18	Correct	7 ms	12108 KB	Output is correct
19	Correct	7 ms	12108 KB	Output is correct
20	Correct	7 ms	12236 KB	Output is correct
21	Correct	7 ms	12008 KB	Output is correct
22	Correct	7 ms	12108 KB	Output is correct
23	Correct	7 ms	12108 KB	Output is correct
24	Correct	7 ms	12124 KB	Output is correct
25	Correct	7 ms	12108 KB	Output is correct
26	Correct	9 ms	12236 KB	Output is correct
27	Correct	9 ms	12324 KB	Output is correct
28	Correct	9 ms	12440 KB	Output is correct
29	Correct	9 ms	12236 KB	Output is correct
30	Correct	9 ms	12208 KB	Output is correct
31	Correct	7 ms	12072 KB	Output is correct
32	Correct	9 ms	12500 KB	Output is correct
33	Correct	8 ms	12108 KB	Output is correct
34	Correct	9 ms	12220 KB	Output is correct
35	Correct	10 ms	12236 KB	Output is correct
36	Correct	9 ms	12236 KB	Output is correct
37	Correct	9 ms	12324 KB	Output is correct
38	Correct	7 ms	12068 KB	Output is correct
39	Correct	9 ms	12236 KB	Output is correct
40	Correct	8 ms	12236 KB	Output is correct
41	Correct	9 ms	12204 KB	Output is correct
42	Correct	9 ms	12300 KB	Output is correct
43	Correct	9 ms	12464 KB	Output is correct
44	Correct	7 ms	12108 KB	Output is correct
45	Correct	9 ms	12360 KB	Output is correct
46	Correct	9 ms	12236 KB	Output is correct
47	Correct	7 ms	12112 KB	Output is correct
48	Correct	9 ms	12236 KB	Output is correct
49	Correct	9 ms	12336 KB	Output is correct
50	Correct	9 ms	12336 KB	Output is correct
51	Correct	9 ms	12216 KB	Output is correct
52	Correct	9 ms	12336 KB	Output is correct
53	Correct	9 ms	12240 KB	Output is correct
54	Correct	9 ms	12244 KB	Output is correct
55	Correct	7 ms	12108 KB	Output is correct
56	Correct	55 ms	18976 KB	Output is correct
57	Correct	83 ms	18652 KB	Output is correct
58	Correct	9 ms	12236 KB	Output is correct
59	Correct	7 ms	12108 KB	Output is correct
60	Correct	7 ms	12108 KB	Output is correct
61	Correct	82 ms	18720 KB	Output is correct
62	Correct	8 ms	12236 KB	Output is correct
63	Correct	111 ms	25784 KB	Output is correct
64	Correct	81 ms	18648 KB	Output is correct
65	Correct	10 ms	12236 KB	Output is correct
66	Correct	85 ms	19512 KB	Output is correct
67	Correct	9 ms	12308 KB	Output is correct
68	Correct	9 ms	12236 KB	Output is correct
69	Correct	58 ms	19004 KB	Output is correct
70	Correct	9 ms	12460 KB	Output is correct
71	Correct	93 ms	18596 KB	Output is correct
72	Correct	98 ms	21008 KB	Output is correct
73	Correct	7 ms	12108 KB	Output is correct
74	Correct	108 ms	26100 KB	Output is correct
75	Correct	93 ms	22392 KB	Output is correct
76	Correct	8 ms	12236 KB	Output is correct
77	Correct	9 ms	12236 KB	Output is correct
78	Correct	58 ms	18996 KB	Output is correct
79	Correct	63 ms	20192 KB	Output is correct
80	Correct	9 ms	12236 KB	Output is correct
81	Correct	9 ms	12236 KB	Output is correct
82	Correct	7 ms	12108 KB	Output is correct
83	Correct	7 ms	12108 KB	Output is correct
84	Correct	9 ms	12296 KB	Output is correct
85	Correct	98 ms	19524 KB	Output is correct
86	Correct	9 ms	12316 KB	Output is correct
87	Correct	106 ms	18848 KB	Output is correct
88	Correct	8 ms	12108 KB	Output is correct
89	Correct	86 ms	18844 KB	Output is correct
90	Correct	99 ms	19420 KB	Output is correct
91	Correct	90 ms	19784 KB	Output is correct
92	Correct	58 ms	19000 KB	Output is correct
93	Correct	9 ms	12284 KB	Output is correct
94	Correct	8 ms	12124 KB	Output is correct
95	Correct	62 ms	20000 KB	Output is correct
96	Correct	103 ms	23748 KB	Output is correct
97	Correct	9 ms	12236 KB	Output is correct
98	Correct	7 ms	12068 KB	Output is correct
99	Correct	61 ms	19684 KB	Output is correct
100	Correct	10 ms	12236 KB	Output is correct
101	Correct	96 ms	19012 KB	Output is correct
102	Correct	98 ms	22532 KB	Output is correct
103	Correct	8 ms	12236 KB	Output is correct
104	Correct	8 ms	12280 KB	Output is correct
105	Correct	9 ms	12204 KB	Output is correct
106	Correct	9 ms	12208 KB	Output is correct
107	Correct	9 ms	12344 KB	Output is correct
108	Correct	400 ms	51360 KB	Output is correct
109	Correct	830 ms	63632 KB	Output is correct
110	Correct	883 ms	74868 KB	Output is correct
111	Correct	826 ms	75404 KB	Output is correct
112	Correct	775 ms	65636 KB	Output is correct
113	Correct	424 ms	53420 KB	Output is correct
114	Correct	666 ms	45764 KB	Output is correct
115	Correct	705 ms	45748 KB	Output is correct
116	Correct	678 ms	48812 KB	Output is correct
117	Correct	717 ms	52240 KB	Output is correct
118	Correct	658 ms	46312 KB	Output is correct
119	Correct	684 ms	52356 KB	Output is correct
120	Correct	769 ms	66316 KB	Output is correct
121	Correct	727 ms	52476 KB	Output is correct
122	Correct	746 ms	50628 KB	Output is correct
123	Correct	413 ms	53892 KB	Output is correct
124	Correct	794 ms	51632 KB	Output is correct

Submission #472194

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