oj.uz

Submission #570302

# Submission time Handle Problem Language Result Execution time Memory
570302 2022-05-29T07:49:38 Z Virv Mergers (JOI19_mergers) C++17
100 / 100
 1315 ms 102360 KB 
#include <functional>
#include <algorithm>
#include <iostream>
#include <numeric>
#include <set>
#include <vector>

using u32 = uint32_t;

int main() {
	u32 n, k;
	std::cin >> n >> k;

	std::vector<std::vector<u32>> g(n);
	for (u32 i = 0; i < n - 1; ++i) {
		u32 a, b;
		std::cin >> a >> b;
		--a, --b;
		g[a].push_back(b);
		g[b].push_back(a);
	}

	std::vector<std::vector<u32>> l(k);
	for (u32 i = 0; i < n; ++i) {
		u32 s;
		std::cin >> s;
		--s;
		l[s].push_back(i);
	}

	std::vector<u32> d(n);
	std::vector<u32> par(n);

	std::function<void(u32, u32, u32)> const dfs = [&](u32 v, u32 p, u32 l) {
		d[v]   = l;
		par[v] = p;
		for (auto u : g[v])
			if (u != p) dfs(u, v, l + 1);
	};

	dfs(0, 0, 0);

	std::vector<u32> uf(n);
	iota(uf.begin(), uf.end(), 0);

	std::function<u32(u32)> const find = [&](u32 i) {
		return uf[i] == i ? i : uf[i] = find(uf[i]);
	};

	auto const merge = [&](u32 i, u32 j) {
		i = find(i);
		j = find(j);
		if (i == j) return;
		if (d[i] > d[j]) std::swap(i, j);
		uf[j] = i;
	};

	for (auto &m : l) {
		std::set<std::pair<u32, u32>> s;
		for (auto x : m) {
			x = find(x);
			s.emplace(d[x], x);
		}

		while (s.size() > 1) {
			auto [_, v] = *s.rbegin();
			s.erase(prev(s.end()));

			merge(v, par[v]);
			v = find(v);
			s.emplace(d[v], v);
		}
	}

	std::vector<u32> cnt(n);

	for (u32 i = 1; i < n; ++i)
		if (find(i) == i) {
			auto j = find(par[i]);
			cnt[i] += 1;
			cnt[j] += 1;
		}

	auto x = count(cnt.begin(), cnt.end(), 1);
	std::cout << (x + 1) / 2 << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 300 KB Output is correct
10 Correct 1 ms 296 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 296 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 308 KB Output is correct
19 Correct 1 ms 296 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 304 KB Output is correct
24 Correct 1 ms 212 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 300 KB Output is correct
10 Correct 1 ms 296 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 296 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 308 KB Output is correct
19 Correct 1 ms 296 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 304 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 4 ms 596 KB Output is correct
27 Correct 4 ms 596 KB Output is correct
28 Correct 4 ms 852 KB Output is correct
29 Correct 3 ms 724 KB Output is correct
30 Correct 4 ms 468 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 4 ms 852 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 3 ms 468 KB Output is correct
35 Correct 4 ms 596 KB Output is correct
36 Correct 5 ms 468 KB Output is correct
37 Correct 4 ms 568 KB Output is correct
38 Correct 1 ms 296 KB Output is correct
39 Correct 4 ms 596 KB Output is correct
40 Correct 4 ms 596 KB Output is correct
41 Correct 4 ms 596 KB Output is correct
42 Correct 4 ms 596 KB Output is correct
43 Correct 3 ms 952 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 4 ms 724 KB Output is correct
46 Correct 4 ms 596 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 4 ms 596 KB Output is correct
49 Correct 4 ms 724 KB Output is correct
50 Correct 4 ms 728 KB Output is correct
51 Correct 4 ms 596 KB Output is correct
52 Correct 3 ms 596 KB Output is correct
53 Correct 4 ms 596 KB Output is correct
54 Correct 4 ms 468 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 300 KB Output is correct
10 Correct 1 ms 296 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 296 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 308 KB Output is correct
19 Correct 1 ms 296 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 304 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 300 KB Output is correct
26 Correct 138 ms 9684 KB Output is correct
27 Correct 150 ms 9412 KB Output is correct
28 Correct 4 ms 600 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 138 ms 9404 KB Output is correct
32 Correct 4 ms 568 KB Output is correct
33 Correct 134 ms 17984 KB Output is correct
34 Correct 159 ms 9548 KB Output is correct
35 Correct 3 ms 568 KB Output is correct
36 Correct 137 ms 10248 KB Output is correct
37 Correct 3 ms 596 KB Output is correct
38 Correct 4 ms 588 KB Output is correct
39 Correct 127 ms 9680 KB Output is correct
40 Correct 4 ms 852 KB Output is correct
41 Correct 157 ms 13500 KB Output is correct
42 Correct 138 ms 12124 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 216 ms 22476 KB Output is correct
45 Correct 131 ms 13860 KB Output is correct
46 Correct 3 ms 596 KB Output is correct
47 Correct 3 ms 468 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 124 ms 8228 KB Output is correct
2 Correct 126 ms 13108 KB Output is correct
3 Correct 3 ms 568 KB Output is correct
4 Correct 4 ms 468 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 304 KB Output is correct
7 Correct 3 ms 568 KB Output is correct
8 Correct 151 ms 11852 KB Output is correct
9 Correct 4 ms 596 KB Output is correct
10 Correct 144 ms 9536 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 127 ms 9556 KB Output is correct
13 Correct 126 ms 11756 KB Output is correct
14 Correct 147 ms 14652 KB Output is correct
15 Correct 111 ms 9636 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 134 ms 14324 KB Output is correct
19 Correct 147 ms 19288 KB Output is correct
20 Correct 4 ms 596 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 126 ms 12168 KB Output is correct
23 Correct 4 ms 596 KB Output is correct
24 Correct 128 ms 10120 KB Output is correct
25 Correct 135 ms 17768 KB Output is correct
26 Correct 3 ms 724 KB Output is correct
27 Correct 4 ms 724 KB Output is correct
28 Correct 4 ms 592 KB Output is correct
29 Correct 3 ms 596 KB Output is correct
30 Correct 4 ms 596 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 300 KB Output is correct
10 Correct 1 ms 296 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 296 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 308 KB Output is correct
19 Correct 1 ms 296 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 304 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 4 ms 596 KB Output is correct
27 Correct 4 ms 596 KB Output is correct
28 Correct 4 ms 852 KB Output is correct
29 Correct 3 ms 724 KB Output is correct
30 Correct 4 ms 468 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 4 ms 852 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 3 ms 468 KB Output is correct
35 Correct 4 ms 596 KB Output is correct
36 Correct 5 ms 468 KB Output is correct
37 Correct 4 ms 568 KB Output is correct
38 Correct 1 ms 296 KB Output is correct
39 Correct 4 ms 596 KB Output is correct
40 Correct 4 ms 596 KB Output is correct
41 Correct 4 ms 596 KB Output is correct
42 Correct 4 ms 596 KB Output is correct
43 Correct 3 ms 952 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 4 ms 724 KB Output is correct
46 Correct 4 ms 596 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 4 ms 596 KB Output is correct
49 Correct 4 ms 724 KB Output is correct
50 Correct 4 ms 728 KB Output is correct
51 Correct 4 ms 596 KB Output is correct
52 Correct 3 ms 596 KB Output is correct
53 Correct 4 ms 596 KB Output is correct
54 Correct 4 ms 468 KB Output is correct
55 Correct 1 ms 300 KB Output is correct
56 Correct 138 ms 9684 KB Output is correct
57 Correct 150 ms 9412 KB Output is correct
58 Correct 4 ms 600 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 138 ms 9404 KB Output is correct
62 Correct 4 ms 568 KB Output is correct
63 Correct 134 ms 17984 KB Output is correct
64 Correct 159 ms 9548 KB Output is correct
65 Correct 3 ms 568 KB Output is correct
66 Correct 137 ms 10248 KB Output is correct
67 Correct 3 ms 596 KB Output is correct
68 Correct 4 ms 588 KB Output is correct
69 Correct 127 ms 9680 KB Output is correct
70 Correct 4 ms 852 KB Output is correct
71 Correct 157 ms 13500 KB Output is correct
72 Correct 138 ms 12124 KB Output is correct
73 Correct 1 ms 212 KB Output is correct
74 Correct 216 ms 22476 KB Output is correct
75 Correct 131 ms 13860 KB Output is correct
76 Correct 3 ms 596 KB Output is correct
77 Correct 3 ms 468 KB Output is correct
78 Correct 124 ms 8228 KB Output is correct
79 Correct 126 ms 13108 KB Output is correct
80 Correct 3 ms 568 KB Output is correct
81 Correct 4 ms 468 KB Output is correct
82 Correct 1 ms 212 KB Output is correct
83 Correct 1 ms 304 KB Output is correct
84 Correct 3 ms 568 KB Output is correct
85 Correct 151 ms 11852 KB Output is correct
86 Correct 4 ms 596 KB Output is correct
87 Correct 144 ms 9536 KB Output is correct
88 Correct 1 ms 212 KB Output is correct
89 Correct 127 ms 9556 KB Output is correct
90 Correct 126 ms 11756 KB Output is correct
91 Correct 147 ms 14652 KB Output is correct
92 Correct 111 ms 9636 KB Output is correct
93 Correct 3 ms 596 KB Output is correct
94 Correct 1 ms 212 KB Output is correct
95 Correct 134 ms 14324 KB Output is correct
96 Correct 147 ms 19288 KB Output is correct
97 Correct 4 ms 596 KB Output is correct
98 Correct 1 ms 212 KB Output is correct
99 Correct 126 ms 12168 KB Output is correct
100 Correct 4 ms 596 KB Output is correct
101 Correct 128 ms 10120 KB Output is correct
102 Correct 135 ms 17768 KB Output is correct
103 Correct 3 ms 724 KB Output is correct
104 Correct 4 ms 724 KB Output is correct
105 Correct 4 ms 592 KB Output is correct
106 Correct 3 ms 596 KB Output is correct
107 Correct 4 ms 596 KB Output is correct
108 Correct 825 ms 58532 KB Output is correct
109 Correct 1315 ms 77144 KB Output is correct
110 Correct 1245 ms 102360 KB Output is correct
111 Correct 1040 ms 101204 KB Output is correct
112 Correct 1070 ms 89488 KB Output is correct
113 Correct 787 ms 72116 KB Output is correct
114 Correct 1103 ms 55328 KB Output is correct
115 Correct 1170 ms 67192 KB Output is correct
116 Correct 1056 ms 52924 KB Output is correct
117 Correct 988 ms 73356 KB Output is correct
118 Correct 892 ms 46884 KB Output is correct
119 Correct 915 ms 73360 KB Output is correct
120 Correct 986 ms 90200 KB Output is correct
121 Correct 1014 ms 73364 KB Output is correct
122 Correct 984 ms 62464 KB Output is correct
123 Correct 822 ms 75044 KB Output is correct
124 Correct 1024 ms 71828 KB Output is correct