답안 #1033016

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1033016	2024-07-24T12:01:48 Z	juicy	Mergers (JOI19_mergers)	C++17	100 / 100	1081 ms	103388 KB

mergers

#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif

const int N = 5e5 + 5, LG = 19;

int n, k;
int dep[N], pr[LG][N], lab[N], top[N], lst[N], deg[N];
vector<int> g[N];

void dfs(int u) {
	for (int v : g[u]) {
		if (v != pr[0][u]) {
			pr[0][v] = u;
			for (int j = 1; j < LG; ++j) {
				pr[j][v] = pr[j - 1][pr[j - 1][v]];
			}
			dep[v] = dep[u] + 1;
			dfs(v);
		}
	}
} 

int get(int u) {
	return lab[u] < 0 ? u : lab[u] = get(lab[u]);
}

void unite(int u, int v) {
	u = get(u);
	v = get(v);
	if (u != v) {
		if (lab[u] > lab[v]) {
			swap(u, v);
		}
		lab[u] += lab[v];
		lab[v] = u;
		if (dep[top[v]] < dep[top[u]]) {
			top[u] = top[v];
		}
	}
}

int lca(int u, int v) {
	if (dep[u] < dep[v]) {
		swap(u, v);
	}
	for (int j = LG - 1; ~j; --j) {
		if (dep[u] - (1 << j) >= dep[v]) {
			u = pr[j][u];
		}
	}
	if (u == v) {
		return u;
	}
	for (int j = LG - 1; ~j; --j) {
		if (pr[j][u] ^ pr[j][v]) {
			u = pr[j][u], v = pr[j][v];
		}
	}
	return pr[0][u];
}

void up(int u, int x) {
	while (dep[top[get(u)]] >= dep[x]) {
		unite(u, top[get(u)]);
	}
}

void add(int u, int v) {
	int x = lca(u, v);
	up(u, x);
	up(v, x);
}

int main() {
	ios::sync_with_stdio(false); cin.tie(nullptr);

	cin >> n >> k;
	for (int i = 1; i < n; ++i) {
		int u, v; cin >> u >> v;
		g[u].push_back(v);
		g[v].push_back(u);
	}
	dep[1] = 1;
	dfs(1);
	for (int i = 1; i <= n; ++i) {
		top[i] = pr[0][i];
		lab[i] = -1;
	}
	for (int i = 1; i <= n; ++i) {
		int c; cin >> c;
		if (lst[c]) {
			add(lst[c], i);
		}
		lst[c] = i;
	}
	for (int u = 1; u <= n; ++u) {
		for (int v : g[u]) {
			if (get(u) != get(v)) {
				++deg[get(v)];
			}
		}
	}
	int cnt = count(deg + 1, deg + n + 1, 1);
	if (cnt & 1) {
		cout << cnt / 2 + 1;
		exit(0);
	}
	cout << cnt / 2;
	return 0;
}

Subtask #1

10.0 / 10.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	12380 KB	Output is correct
2	Correct	6 ms	12380 KB	Output is correct
3	Correct	5 ms	12632 KB	Output is correct
4	Correct	5 ms	12380 KB	Output is correct
5	Correct	5 ms	12388 KB	Output is correct
6	Correct	5 ms	12380 KB	Output is correct
7	Correct	5 ms	12120 KB	Output is correct
8	Correct	5 ms	12380 KB	Output is correct
9	Correct	5 ms	12240 KB	Output is correct
10	Correct	5 ms	12376 KB	Output is correct
11	Correct	5 ms	12380 KB	Output is correct
12	Correct	8 ms	12208 KB	Output is correct
13	Correct	6 ms	12376 KB	Output is correct
14	Correct	5 ms	12380 KB	Output is correct
15	Correct	5 ms	12208 KB	Output is correct
16	Correct	5 ms	12380 KB	Output is correct
17	Correct	5 ms	12380 KB	Output is correct
18	Correct	5 ms	12380 KB	Output is correct
19	Correct	5 ms	12380 KB	Output is correct
20	Correct	5 ms	12380 KB	Output is correct
21	Correct	5 ms	12376 KB	Output is correct
22	Correct	5 ms	12228 KB	Output is correct
23	Correct	8 ms	12380 KB	Output is correct
24	Correct	5 ms	12380 KB	Output is correct

Subtask #2

24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	12380 KB	Output is correct
2	Correct	6 ms	12380 KB	Output is correct
3	Correct	5 ms	12632 KB	Output is correct
4	Correct	5 ms	12380 KB	Output is correct
5	Correct	5 ms	12388 KB	Output is correct
6	Correct	5 ms	12380 KB	Output is correct
7	Correct	5 ms	12120 KB	Output is correct
8	Correct	5 ms	12380 KB	Output is correct
9	Correct	5 ms	12240 KB	Output is correct
10	Correct	5 ms	12376 KB	Output is correct
11	Correct	5 ms	12380 KB	Output is correct
12	Correct	8 ms	12208 KB	Output is correct
13	Correct	6 ms	12376 KB	Output is correct
14	Correct	5 ms	12380 KB	Output is correct
15	Correct	5 ms	12208 KB	Output is correct
16	Correct	5 ms	12380 KB	Output is correct
17	Correct	5 ms	12380 KB	Output is correct
18	Correct	5 ms	12380 KB	Output is correct
19	Correct	5 ms	12380 KB	Output is correct
20	Correct	5 ms	12380 KB	Output is correct
21	Correct	5 ms	12376 KB	Output is correct
22	Correct	5 ms	12228 KB	Output is correct
23	Correct	8 ms	12380 KB	Output is correct
24	Correct	5 ms	12380 KB	Output is correct
25	Correct	5 ms	12380 KB	Output is correct
26	Correct	6 ms	12736 KB	Output is correct
27	Correct	7 ms	12636 KB	Output is correct
28	Correct	6 ms	12892 KB	Output is correct
29	Correct	6 ms	12636 KB	Output is correct
30	Correct	6 ms	12636 KB	Output is correct
31	Correct	5 ms	12380 KB	Output is correct
32	Correct	7 ms	12888 KB	Output is correct
33	Correct	5 ms	12380 KB	Output is correct
34	Correct	6 ms	12636 KB	Output is correct
35	Correct	6 ms	12828 KB	Output is correct
36	Correct	6 ms	12644 KB	Output is correct
37	Correct	6 ms	12644 KB	Output is correct
38	Correct	5 ms	12380 KB	Output is correct
39	Correct	7 ms	12724 KB	Output is correct
40	Correct	6 ms	12636 KB	Output is correct
41	Correct	6 ms	12636 KB	Output is correct
42	Correct	7 ms	12636 KB	Output is correct
43	Correct	6 ms	12892 KB	Output is correct
44	Correct	5 ms	12380 KB	Output is correct
45	Correct	6 ms	12812 KB	Output is correct
46	Correct	6 ms	12632 KB	Output is correct
47	Correct	5 ms	12404 KB	Output is correct
48	Correct	6 ms	12636 KB	Output is correct
49	Correct	6 ms	12636 KB	Output is correct
50	Correct	6 ms	12736 KB	Output is correct
51	Correct	6 ms	12636 KB	Output is correct
52	Correct	6 ms	12632 KB	Output is correct
53	Correct	7 ms	12636 KB	Output is correct
54	Correct	8 ms	12632 KB	Output is correct

Subtask #3

14.0 / 14.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	12380 KB	Output is correct
2	Correct	6 ms	12380 KB	Output is correct
3	Correct	5 ms	12632 KB	Output is correct
4	Correct	5 ms	12380 KB	Output is correct
5	Correct	5 ms	12388 KB	Output is correct
6	Correct	5 ms	12380 KB	Output is correct
7	Correct	5 ms	12120 KB	Output is correct
8	Correct	5 ms	12380 KB	Output is correct
9	Correct	5 ms	12240 KB	Output is correct
10	Correct	5 ms	12376 KB	Output is correct
11	Correct	5 ms	12380 KB	Output is correct
12	Correct	8 ms	12208 KB	Output is correct
13	Correct	6 ms	12376 KB	Output is correct
14	Correct	5 ms	12380 KB	Output is correct
15	Correct	5 ms	12208 KB	Output is correct
16	Correct	5 ms	12380 KB	Output is correct
17	Correct	5 ms	12380 KB	Output is correct
18	Correct	5 ms	12380 KB	Output is correct
19	Correct	5 ms	12380 KB	Output is correct
20	Correct	5 ms	12380 KB	Output is correct
21	Correct	5 ms	12376 KB	Output is correct
22	Correct	5 ms	12228 KB	Output is correct
23	Correct	8 ms	12380 KB	Output is correct
24	Correct	5 ms	12380 KB	Output is correct
25	Correct	6 ms	12380 KB	Output is correct
26	Correct	46 ms	25800 KB	Output is correct
27	Correct	53 ms	25424 KB	Output is correct
28	Correct	6 ms	12636 KB	Output is correct
29	Correct	7 ms	12388 KB	Output is correct
30	Correct	5 ms	12380 KB	Output is correct
31	Correct	61 ms	25648 KB	Output is correct
32	Correct	8 ms	12736 KB	Output is correct
33	Correct	95 ms	31184 KB	Output is correct
34	Correct	62 ms	25564 KB	Output is correct
35	Correct	7 ms	12636 KB	Output is correct
36	Correct	82 ms	26080 KB	Output is correct
37	Correct	7 ms	12636 KB	Output is correct
38	Correct	7 ms	12552 KB	Output is correct
39	Correct	50 ms	25808 KB	Output is correct
40	Correct	11 ms	13148 KB	Output is correct
41	Correct	73 ms	25372 KB	Output is correct
42	Correct	114 ms	27328 KB	Output is correct
43	Correct	6 ms	12380 KB	Output is correct
44	Correct	96 ms	31340 KB	Output is correct
45	Correct	91 ms	28528 KB	Output is correct
46	Correct	6 ms	12636 KB	Output is correct
47	Correct	7 ms	12636 KB	Output is correct

Subtask #4

22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	52 ms	25816 KB	Output is correct
2	Correct	43 ms	26828 KB	Output is correct
3	Correct	7 ms	12640 KB	Output is correct
4	Correct	8 ms	12640 KB	Output is correct
5	Correct	5 ms	12216 KB	Output is correct
6	Correct	6 ms	12380 KB	Output is correct
7	Correct	6 ms	12680 KB	Output is correct
8	Correct	68 ms	26344 KB	Output is correct
9	Correct	7 ms	12636 KB	Output is correct
10	Correct	67 ms	25684 KB	Output is correct
11	Correct	6 ms	12380 KB	Output is correct
12	Correct	64 ms	25712 KB	Output is correct
13	Correct	61 ms	26452 KB	Output is correct
14	Correct	52 ms	26708 KB	Output is correct
15	Correct	48 ms	25888 KB	Output is correct
16	Correct	7 ms	12636 KB	Output is correct
17	Correct	5 ms	12380 KB	Output is correct
18	Correct	54 ms	26888 KB	Output is correct
19	Correct	56 ms	29736 KB	Output is correct
20	Correct	6 ms	12740 KB	Output is correct
21	Correct	5 ms	12380 KB	Output is correct
22	Correct	60 ms	26484 KB	Output is correct
23	Correct	6 ms	12636 KB	Output is correct
24	Correct	71 ms	25936 KB	Output is correct
25	Correct	56 ms	28756 KB	Output is correct
26	Correct	6 ms	12764 KB	Output is correct
27	Correct	8 ms	12636 KB	Output is correct
28	Correct	7 ms	12636 KB	Output is correct
29	Correct	6 ms	12888 KB	Output is correct
30	Correct	6 ms	12636 KB	Output is correct

Subtask #5

30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	12380 KB	Output is correct
2	Correct	6 ms	12380 KB	Output is correct
3	Correct	5 ms	12632 KB	Output is correct
4	Correct	5 ms	12380 KB	Output is correct
5	Correct	5 ms	12388 KB	Output is correct
6	Correct	5 ms	12380 KB	Output is correct
7	Correct	5 ms	12120 KB	Output is correct
8	Correct	5 ms	12380 KB	Output is correct
9	Correct	5 ms	12240 KB	Output is correct
10	Correct	5 ms	12376 KB	Output is correct
11	Correct	5 ms	12380 KB	Output is correct
12	Correct	8 ms	12208 KB	Output is correct
13	Correct	6 ms	12376 KB	Output is correct
14	Correct	5 ms	12380 KB	Output is correct
15	Correct	5 ms	12208 KB	Output is correct
16	Correct	5 ms	12380 KB	Output is correct
17	Correct	5 ms	12380 KB	Output is correct
18	Correct	5 ms	12380 KB	Output is correct
19	Correct	5 ms	12380 KB	Output is correct
20	Correct	5 ms	12380 KB	Output is correct
21	Correct	5 ms	12376 KB	Output is correct
22	Correct	5 ms	12228 KB	Output is correct
23	Correct	8 ms	12380 KB	Output is correct
24	Correct	5 ms	12380 KB	Output is correct
25	Correct	5 ms	12380 KB	Output is correct
26	Correct	6 ms	12736 KB	Output is correct
27	Correct	7 ms	12636 KB	Output is correct
28	Correct	6 ms	12892 KB	Output is correct
29	Correct	6 ms	12636 KB	Output is correct
30	Correct	6 ms	12636 KB	Output is correct
31	Correct	5 ms	12380 KB	Output is correct
32	Correct	7 ms	12888 KB	Output is correct
33	Correct	5 ms	12380 KB	Output is correct
34	Correct	6 ms	12636 KB	Output is correct
35	Correct	6 ms	12828 KB	Output is correct
36	Correct	6 ms	12644 KB	Output is correct
37	Correct	6 ms	12644 KB	Output is correct
38	Correct	5 ms	12380 KB	Output is correct
39	Correct	7 ms	12724 KB	Output is correct
40	Correct	6 ms	12636 KB	Output is correct
41	Correct	6 ms	12636 KB	Output is correct
42	Correct	7 ms	12636 KB	Output is correct
43	Correct	6 ms	12892 KB	Output is correct
44	Correct	5 ms	12380 KB	Output is correct
45	Correct	6 ms	12812 KB	Output is correct
46	Correct	6 ms	12632 KB	Output is correct
47	Correct	5 ms	12404 KB	Output is correct
48	Correct	6 ms	12636 KB	Output is correct
49	Correct	6 ms	12636 KB	Output is correct
50	Correct	6 ms	12736 KB	Output is correct
51	Correct	6 ms	12636 KB	Output is correct
52	Correct	6 ms	12632 KB	Output is correct
53	Correct	7 ms	12636 KB	Output is correct
54	Correct	8 ms	12632 KB	Output is correct
55	Correct	6 ms	12380 KB	Output is correct
56	Correct	46 ms	25800 KB	Output is correct
57	Correct	53 ms	25424 KB	Output is correct
58	Correct	6 ms	12636 KB	Output is correct
59	Correct	7 ms	12388 KB	Output is correct
60	Correct	5 ms	12380 KB	Output is correct
61	Correct	61 ms	25648 KB	Output is correct
62	Correct	8 ms	12736 KB	Output is correct
63	Correct	95 ms	31184 KB	Output is correct
64	Correct	62 ms	25564 KB	Output is correct
65	Correct	7 ms	12636 KB	Output is correct
66	Correct	82 ms	26080 KB	Output is correct
67	Correct	7 ms	12636 KB	Output is correct
68	Correct	7 ms	12552 KB	Output is correct
69	Correct	50 ms	25808 KB	Output is correct
70	Correct	11 ms	13148 KB	Output is correct
71	Correct	73 ms	25372 KB	Output is correct
72	Correct	114 ms	27328 KB	Output is correct
73	Correct	6 ms	12380 KB	Output is correct
74	Correct	96 ms	31340 KB	Output is correct
75	Correct	91 ms	28528 KB	Output is correct
76	Correct	6 ms	12636 KB	Output is correct
77	Correct	7 ms	12636 KB	Output is correct
78	Correct	52 ms	25816 KB	Output is correct
79	Correct	43 ms	26828 KB	Output is correct
80	Correct	7 ms	12640 KB	Output is correct
81	Correct	8 ms	12640 KB	Output is correct
82	Correct	5 ms	12216 KB	Output is correct
83	Correct	6 ms	12380 KB	Output is correct
84	Correct	6 ms	12680 KB	Output is correct
85	Correct	68 ms	26344 KB	Output is correct
86	Correct	7 ms	12636 KB	Output is correct
87	Correct	67 ms	25684 KB	Output is correct
88	Correct	6 ms	12380 KB	Output is correct
89	Correct	64 ms	25712 KB	Output is correct
90	Correct	61 ms	26452 KB	Output is correct
91	Correct	52 ms	26708 KB	Output is correct
92	Correct	48 ms	25888 KB	Output is correct
93	Correct	7 ms	12636 KB	Output is correct
94	Correct	5 ms	12380 KB	Output is correct
95	Correct	54 ms	26888 KB	Output is correct
96	Correct	56 ms	29736 KB	Output is correct
97	Correct	6 ms	12740 KB	Output is correct
98	Correct	5 ms	12380 KB	Output is correct
99	Correct	60 ms	26484 KB	Output is correct
100	Correct	6 ms	12636 KB	Output is correct
101	Correct	71 ms	25936 KB	Output is correct
102	Correct	56 ms	28756 KB	Output is correct
103	Correct	6 ms	12764 KB	Output is correct
104	Correct	8 ms	12636 KB	Output is correct
105	Correct	7 ms	12636 KB	Output is correct
106	Correct	6 ms	12888 KB	Output is correct
107	Correct	6 ms	12636 KB	Output is correct
108	Correct	452 ms	85476 KB	Output is correct
109	Correct	1081 ms	93160 KB	Output is correct
110	Correct	1030 ms	102128 KB	Output is correct
111	Correct	505 ms	103388 KB	Output is correct
112	Correct	530 ms	95568 KB	Output is correct
113	Correct	317 ms	86580 KB	Output is correct
114	Correct	588 ms	79016 KB	Output is correct
115	Correct	565 ms	79052 KB	Output is correct
116	Correct	687 ms	82768 KB	Output is correct
117	Correct	427 ms	85064 KB	Output is correct
118	Correct	559 ms	78692 KB	Output is correct
119	Correct	362 ms	85072 KB	Output is correct
120	Correct	622 ms	96340 KB	Output is correct
121	Correct	389 ms	85312 KB	Output is correct
122	Correct	606 ms	84304 KB	Output is correct
123	Correct	290 ms	86624 KB	Output is correct
124	Correct	448 ms	83536 KB	Output is correct