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Submission #377746

# Submission time Handle Problem Language Result Execution time Memory
377746 2021-03-14T22:41:32 Z peijar Mergers (JOI19_mergers) C++17
100 / 100
 863 ms 101576 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;

const int MAXN = 5e5;
vector<int> adj[MAXN], dansEtat[MAXN];
int etat[MAXN], profondeur[MAXN], parent[MAXN], id[MAXN];
int nbSommets, nbEtats;

void dfs(int u, int p)
{
	for (auto v : adj[u])
		if (v != p)
		{
			profondeur[v] = profondeur[u] + 1;
			parent[v] = u;
			dfs(v, u);
		}
}

int find(int u)
{
	return id[u] = (u == id[u] ? u : find(id[u]));
}

signed main(void)
{
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
	
	cin >> nbSommets >> nbEtats;
	vector<pair<int, int>> aretes;
	for (int i(0); i < nbSommets; ++i)
		id[i] = i;
	for (int i(1); i < nbSommets; ++i)
	{
		int u, v;
		cin >> u >> v;
		--u, --v;
		aretes.emplace_back(u, v);
		adj[u].push_back(v);
		adj[v].push_back(u);
	}

	for (int i(0); i < nbSommets; ++i)
	{
		cin >> etat[i];
		--etat[i];
		dansEtat[etat[i]].push_back(i);
	}

	dfs(0, 0);

	for (int iEtat(0); iEtat < nbEtats; ++iEtat)
	{
		for (int i(1); i < (int)dansEtat[iEtat].size(); ++i)
		{
			int u = dansEtat[iEtat][i-1], v = dansEtat[iEtat][i];
			u = find(u), v = find(v);
			while (u != v)
			{
				if (profondeur[u] < profondeur[v]) swap(u, v);
				id[u] = find(id[parent[u]]);
				u = id[u];
			}
		}
	}
	vector<int> deg(nbSommets);
	for (auto [u, v] : aretes)
	{
		u = find(u), v = find(v);
		if (u != v)
			deg[u]++, deg[v]++;
	}
	int nbFeuilles(0);
	for (auto d : deg)
		nbFeuilles += d == 1;
	int sol = (nbFeuilles + 1)/2;
	cout << sol << endl;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 23788 KB Output is correct
2 Correct 16 ms 23916 KB Output is correct
3 Correct 17 ms 23916 KB Output is correct
4 Correct 16 ms 23788 KB Output is correct
5 Correct 17 ms 23788 KB Output is correct
6 Correct 17 ms 23936 KB Output is correct
7 Correct 15 ms 23788 KB Output is correct
8 Correct 15 ms 23916 KB Output is correct
9 Correct 15 ms 23788 KB Output is correct
10 Correct 14 ms 23788 KB Output is correct
11 Correct 15 ms 23788 KB Output is correct
12 Correct 15 ms 23916 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 15 ms 23916 KB Output is correct
15 Correct 14 ms 23916 KB Output is correct
16 Correct 15 ms 23788 KB Output is correct
17 Correct 17 ms 23788 KB Output is correct
18 Correct 14 ms 23916 KB Output is correct
19 Correct 14 ms 23808 KB Output is correct
20 Correct 15 ms 23788 KB Output is correct
21 Correct 14 ms 23916 KB Output is correct
22 Correct 14 ms 23916 KB Output is correct
23 Correct 14 ms 23808 KB Output is correct
24 Correct 15 ms 23788 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 23788 KB Output is correct
2 Correct 16 ms 23916 KB Output is correct
3 Correct 17 ms 23916 KB Output is correct
4 Correct 16 ms 23788 KB Output is correct
5 Correct 17 ms 23788 KB Output is correct
6 Correct 17 ms 23936 KB Output is correct
7 Correct 15 ms 23788 KB Output is correct
8 Correct 15 ms 23916 KB Output is correct
9 Correct 15 ms 23788 KB Output is correct
10 Correct 14 ms 23788 KB Output is correct
11 Correct 15 ms 23788 KB Output is correct
12 Correct 15 ms 23916 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 15 ms 23916 KB Output is correct
15 Correct 14 ms 23916 KB Output is correct
16 Correct 15 ms 23788 KB Output is correct
17 Correct 17 ms 23788 KB Output is correct
18 Correct 14 ms 23916 KB Output is correct
19 Correct 14 ms 23808 KB Output is correct
20 Correct 15 ms 23788 KB Output is correct
21 Correct 14 ms 23916 KB Output is correct
22 Correct 14 ms 23916 KB Output is correct
23 Correct 14 ms 23808 KB Output is correct
24 Correct 15 ms 23788 KB Output is correct
25 Correct 14 ms 23916 KB Output is correct
26 Correct 18 ms 24172 KB Output is correct
27 Correct 18 ms 24172 KB Output is correct
28 Correct 17 ms 24300 KB Output is correct
29 Correct 19 ms 24172 KB Output is correct
30 Correct 17 ms 24172 KB Output is correct
31 Correct 15 ms 23936 KB Output is correct
32 Correct 17 ms 24300 KB Output is correct
33 Correct 16 ms 23916 KB Output is correct
34 Correct 17 ms 24172 KB Output is correct
35 Correct 16 ms 24172 KB Output is correct
36 Correct 16 ms 24172 KB Output is correct
37 Correct 16 ms 24172 KB Output is correct
38 Correct 14 ms 23916 KB Output is correct
39 Correct 16 ms 24172 KB Output is correct
40 Correct 16 ms 24172 KB Output is correct
41 Correct 16 ms 24172 KB Output is correct
42 Correct 16 ms 24172 KB Output is correct
43 Correct 16 ms 24300 KB Output is correct
44 Correct 15 ms 23916 KB Output is correct
45 Correct 16 ms 24300 KB Output is correct
46 Correct 16 ms 24172 KB Output is correct
47 Correct 15 ms 23916 KB Output is correct
48 Correct 16 ms 24172 KB Output is correct
49 Correct 16 ms 24172 KB Output is correct
50 Correct 17 ms 24300 KB Output is correct
51 Correct 17 ms 24172 KB Output is correct
52 Correct 16 ms 24172 KB Output is correct
53 Correct 16 ms 24172 KB Output is correct
54 Correct 16 ms 24172 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 23788 KB Output is correct
2 Correct 16 ms 23916 KB Output is correct
3 Correct 17 ms 23916 KB Output is correct
4 Correct 16 ms 23788 KB Output is correct
5 Correct 17 ms 23788 KB Output is correct
6 Correct 17 ms 23936 KB Output is correct
7 Correct 15 ms 23788 KB Output is correct
8 Correct 15 ms 23916 KB Output is correct
9 Correct 15 ms 23788 KB Output is correct
10 Correct 14 ms 23788 KB Output is correct
11 Correct 15 ms 23788 KB Output is correct
12 Correct 15 ms 23916 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 15 ms 23916 KB Output is correct
15 Correct 14 ms 23916 KB Output is correct
16 Correct 15 ms 23788 KB Output is correct
17 Correct 17 ms 23788 KB Output is correct
18 Correct 14 ms 23916 KB Output is correct
19 Correct 14 ms 23808 KB Output is correct
20 Correct 15 ms 23788 KB Output is correct
21 Correct 14 ms 23916 KB Output is correct
22 Correct 14 ms 23916 KB Output is correct
23 Correct 14 ms 23808 KB Output is correct
24 Correct 15 ms 23788 KB Output is correct
25 Correct 14 ms 23916 KB Output is correct
26 Correct 69 ms 34396 KB Output is correct
27 Correct 100 ms 34140 KB Output is correct
28 Correct 16 ms 24172 KB Output is correct
29 Correct 14 ms 23916 KB Output is correct
30 Correct 15 ms 23808 KB Output is correct
31 Correct 96 ms 34012 KB Output is correct
32 Correct 16 ms 24172 KB Output is correct
33 Correct 105 ms 39260 KB Output is correct
34 Correct 94 ms 34140 KB Output is correct
35 Correct 16 ms 24172 KB Output is correct
36 Correct 111 ms 34140 KB Output is correct
37 Correct 17 ms 24172 KB Output is correct
38 Correct 17 ms 24172 KB Output is correct
39 Correct 69 ms 34268 KB Output is correct
40 Correct 18 ms 24300 KB Output is correct
41 Correct 95 ms 34140 KB Output is correct
42 Correct 103 ms 35420 KB Output is correct
43 Correct 15 ms 23916 KB Output is correct
44 Correct 117 ms 39516 KB Output is correct
45 Correct 104 ms 37852 KB Output is correct
46 Correct 16 ms 24172 KB Output is correct
47 Correct 17 ms 24172 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 34396 KB Output is correct
2 Correct 92 ms 36444 KB Output is correct
3 Correct 17 ms 24172 KB Output is correct
4 Correct 18 ms 24172 KB Output is correct
5 Correct 15 ms 23916 KB Output is correct
6 Correct 18 ms 23936 KB Output is correct
7 Correct 16 ms 24172 KB Output is correct
8 Correct 124 ms 34908 KB Output is correct
9 Correct 17 ms 24172 KB Output is correct
10 Correct 107 ms 34268 KB Output is correct
11 Correct 15 ms 23916 KB Output is correct
12 Correct 109 ms 33628 KB Output is correct
13 Correct 117 ms 34780 KB Output is correct
14 Correct 104 ms 36316 KB Output is correct
15 Correct 73 ms 34268 KB Output is correct
16 Correct 17 ms 24172 KB Output is correct
17 Correct 15 ms 23916 KB Output is correct
18 Correct 91 ms 36060 KB Output is correct
19 Correct 120 ms 38876 KB Output is correct
20 Correct 17 ms 24172 KB Output is correct
21 Correct 15 ms 23916 KB Output is correct
22 Correct 97 ms 35164 KB Output is correct
23 Correct 17 ms 24172 KB Output is correct
24 Correct 106 ms 34396 KB Output is correct
25 Correct 104 ms 38620 KB Output is correct
26 Correct 16 ms 24172 KB Output is correct
27 Correct 17 ms 24300 KB Output is correct
28 Correct 17 ms 24172 KB Output is correct
29 Correct 17 ms 24172 KB Output is correct
30 Correct 17 ms 24172 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 23788 KB Output is correct
2 Correct 16 ms 23916 KB Output is correct
3 Correct 17 ms 23916 KB Output is correct
4 Correct 16 ms 23788 KB Output is correct
5 Correct 17 ms 23788 KB Output is correct
6 Correct 17 ms 23936 KB Output is correct
7 Correct 15 ms 23788 KB Output is correct
8 Correct 15 ms 23916 KB Output is correct
9 Correct 15 ms 23788 KB Output is correct
10 Correct 14 ms 23788 KB Output is correct
11 Correct 15 ms 23788 KB Output is correct
12 Correct 15 ms 23916 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 15 ms 23916 KB Output is correct
15 Correct 14 ms 23916 KB Output is correct
16 Correct 15 ms 23788 KB Output is correct
17 Correct 17 ms 23788 KB Output is correct
18 Correct 14 ms 23916 KB Output is correct
19 Correct 14 ms 23808 KB Output is correct
20 Correct 15 ms 23788 KB Output is correct
21 Correct 14 ms 23916 KB Output is correct
22 Correct 14 ms 23916 KB Output is correct
23 Correct 14 ms 23808 KB Output is correct
24 Correct 15 ms 23788 KB Output is correct
25 Correct 14 ms 23916 KB Output is correct
26 Correct 18 ms 24172 KB Output is correct
27 Correct 18 ms 24172 KB Output is correct
28 Correct 17 ms 24300 KB Output is correct
29 Correct 19 ms 24172 KB Output is correct
30 Correct 17 ms 24172 KB Output is correct
31 Correct 15 ms 23936 KB Output is correct
32 Correct 17 ms 24300 KB Output is correct
33 Correct 16 ms 23916 KB Output is correct
34 Correct 17 ms 24172 KB Output is correct
35 Correct 16 ms 24172 KB Output is correct
36 Correct 16 ms 24172 KB Output is correct
37 Correct 16 ms 24172 KB Output is correct
38 Correct 14 ms 23916 KB Output is correct
39 Correct 16 ms 24172 KB Output is correct
40 Correct 16 ms 24172 KB Output is correct
41 Correct 16 ms 24172 KB Output is correct
42 Correct 16 ms 24172 KB Output is correct
43 Correct 16 ms 24300 KB Output is correct
44 Correct 15 ms 23916 KB Output is correct
45 Correct 16 ms 24300 KB Output is correct
46 Correct 16 ms 24172 KB Output is correct
47 Correct 15 ms 23916 KB Output is correct
48 Correct 16 ms 24172 KB Output is correct
49 Correct 16 ms 24172 KB Output is correct
50 Correct 17 ms 24300 KB Output is correct
51 Correct 17 ms 24172 KB Output is correct
52 Correct 16 ms 24172 KB Output is correct
53 Correct 16 ms 24172 KB Output is correct
54 Correct 16 ms 24172 KB Output is correct
55 Correct 14 ms 23916 KB Output is correct
56 Correct 69 ms 34396 KB Output is correct
57 Correct 100 ms 34140 KB Output is correct
58 Correct 16 ms 24172 KB Output is correct
59 Correct 14 ms 23916 KB Output is correct
60 Correct 15 ms 23808 KB Output is correct
61 Correct 96 ms 34012 KB Output is correct
62 Correct 16 ms 24172 KB Output is correct
63 Correct 105 ms 39260 KB Output is correct
64 Correct 94 ms 34140 KB Output is correct
65 Correct 16 ms 24172 KB Output is correct
66 Correct 111 ms 34140 KB Output is correct
67 Correct 17 ms 24172 KB Output is correct
68 Correct 17 ms 24172 KB Output is correct
69 Correct 69 ms 34268 KB Output is correct
70 Correct 18 ms 24300 KB Output is correct
71 Correct 95 ms 34140 KB Output is correct
72 Correct 103 ms 35420 KB Output is correct
73 Correct 15 ms 23916 KB Output is correct
74 Correct 117 ms 39516 KB Output is correct
75 Correct 104 ms 37852 KB Output is correct
76 Correct 16 ms 24172 KB Output is correct
77 Correct 17 ms 24172 KB Output is correct
78 Correct 69 ms 34396 KB Output is correct
79 Correct 92 ms 36444 KB Output is correct
80 Correct 17 ms 24172 KB Output is correct
81 Correct 18 ms 24172 KB Output is correct
82 Correct 15 ms 23916 KB Output is correct
83 Correct 18 ms 23936 KB Output is correct
84 Correct 16 ms 24172 KB Output is correct
85 Correct 124 ms 34908 KB Output is correct
86 Correct 17 ms 24172 KB Output is correct
87 Correct 107 ms 34268 KB Output is correct
88 Correct 15 ms 23916 KB Output is correct
89 Correct 109 ms 33628 KB Output is correct
90 Correct 117 ms 34780 KB Output is correct
91 Correct 104 ms 36316 KB Output is correct
92 Correct 73 ms 34268 KB Output is correct
93 Correct 17 ms 24172 KB Output is correct
94 Correct 15 ms 23916 KB Output is correct
95 Correct 91 ms 36060 KB Output is correct
96 Correct 120 ms 38876 KB Output is correct
97 Correct 17 ms 24172 KB Output is correct
98 Correct 15 ms 23916 KB Output is correct
99 Correct 97 ms 35164 KB Output is correct
100 Correct 17 ms 24172 KB Output is correct
101 Correct 106 ms 34396 KB Output is correct
102 Correct 104 ms 38620 KB Output is correct
103 Correct 16 ms 24172 KB Output is correct
104 Correct 17 ms 24300 KB Output is correct
105 Correct 17 ms 24172 KB Output is correct
106 Correct 17 ms 24172 KB Output is correct
107 Correct 17 ms 24172 KB Output is correct
108 Correct 622 ms 79688 KB Output is correct
109 Correct 732 ms 89048 KB Output is correct
110 Correct 738 ms 94936 KB Output is correct
111 Correct 781 ms 101576 KB Output is correct
112 Correct 798 ms 97736 KB Output is correct
113 Correct 638 ms 85076 KB Output is correct
114 Correct 597 ms 75336 KB Output is correct
115 Correct 626 ms 74116 KB Output is correct
116 Correct 863 ms 77512 KB Output is correct
117 Correct 714 ms 85740 KB Output is correct
118 Correct 680 ms 75408 KB Output is correct
119 Correct 677 ms 85576 KB Output is correct
120 Correct 732 ms 98248 KB Output is correct
121 Correct 693 ms 85576 KB Output is correct
122 Correct 793 ms 80068 KB Output is correct
123 Correct 615 ms 86472 KB Output is correct
124 Correct 789 ms 81736 KB Output is correct