oj.uz

Submission #110005

# Submission time Handle Problem Language Result Execution time Memory
110005 2019-05-08T16:03:47 Z luciocf Mergers (JOI19_mergers) C++17
100 / 100
 1585 ms 77532 KB 
#include <bits/stdc++.h>

using namespace std;

const int maxn = 5e5+10;

int n, k;

int pai[maxn], peso[maxn];

int s[maxn], tot[maxn];

int in[maxn], out[maxn], val[maxn], sz[maxn], tt;
int qtdZero, qtdTot, sub[maxn];

int grau[maxn];

vector<int> grafo[maxn];

void Init(void)
{
	for (int i = 1; i <= n; i++)
		pai[i] = i, peso[i] = 1;
}

int Find(int x)
{
	if (pai[x] == x) return x;
	return pai[x] = Find(pai[x]);
}

void Join(int x, int y)
{
	x = Find(x), y = Find(y);
	if (x == y) return;

	if (peso[x] < peso[y]) swap(x, y);

	pai[y] = x, peso[x] += peso[y];
}

void dfs(int u, int p)
{
	sz[u] = 1;
	in[u] = ++tt, val[tt] = s[u];

	for (auto v: grafo[u])
	{
		if (v == p) continue;

		dfs(v, u);

		sz[u] += sz[v];
	}

	out[u] = tt;
}

void solve(int u, int p, bool heavy)
{
	int maior = -1, ind = -1;

	for (auto v: grafo[u])
		if (v != p && sz[v] > maior)
			maior = sz[v], ind = v;

	for (auto v: grafo[u])
		if (v != p && v != ind)
			solve(v, u, 0);

	if (ind != -1)
		solve(ind, u, 1);

	--sub[s[u]];

	if (sub[s[u]] == 0)
		++qtdZero;

	if (sub[s[u]] == tot[s[u]]-1)
		--qtdTot;

	for (auto v: grafo[u])
	{
		if (v != p && v != ind)
		{
			for (int i = in[v]; i <= out[v]; i++)
			{
				--sub[val[i]];
				
				if (sub[val[i]] == 0)
					++qtdZero;

				if (sub[val[i]] == tot[val[i]]-1)
					--qtdTot;
			}
		}
	}

	if (qtdZero+qtdTot < k)
		Join(u, p);

	if (!heavy)
	{
		for (int i = in[u]; i <= out[u]; i++)
		{
			++sub[val[i]];
			
			if (sub[val[i]] == 1)
				--qtdZero;

			if (sub[val[i]] == tot[val[i]])
				++qtdTot;
		}
	}
}

int main(void)
{
	scanf("%d %d", &n, &k);

	for (int i = 1; i < n; i++)
	{
		int u, v;
		scanf("%d %d", &u, &v);

		grafo[u].push_back(v);
		grafo[v].push_back(u);
	}

	for (int i = 1; i <= n; i++)
	{
		scanf("%d", &s[i]);

		tot[s[i]]++;
		sub[s[i]]++;
	}

	qtdTot = k;

	Init();

	dfs(1, 0);
	solve(1, 0, 0);

	for (int i = 1; i <= n; i++)
		for (auto v: grafo[i])
			if (Find(v) != Find(i))
				grau[Find(v)]++;

	int leaf = 0;

	for (int i = 1; i <= n; i++)
		if (grau[i] == 1)
			leaf++;

	printf("%d\n", (leaf+1)/2);
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:119:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d", &n, &k);
  ~~~~~^~~~~~~~~~~~~~~~~
mergers.cpp:124:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %d", &u, &v);
   ~~~~~^~~~~~~~~~~~~~~~~
mergers.cpp:132:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &s[i]);
   ~~~~~^~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12160 KB Output is correct
2 Correct 12 ms 12160 KB Output is correct
3 Correct 13 ms 12160 KB Output is correct
4 Correct 14 ms 12160 KB Output is correct
5 Correct 15 ms 12160 KB Output is correct
6 Correct 14 ms 12160 KB Output is correct
7 Correct 13 ms 12160 KB Output is correct
8 Correct 13 ms 12160 KB Output is correct
9 Correct 12 ms 12160 KB Output is correct
10 Correct 17 ms 12160 KB Output is correct
11 Correct 13 ms 12288 KB Output is correct
12 Correct 14 ms 12160 KB Output is correct
13 Correct 14 ms 12160 KB Output is correct
14 Correct 15 ms 12160 KB Output is correct
15 Correct 14 ms 12160 KB Output is correct
16 Correct 14 ms 12160 KB Output is correct
17 Correct 14 ms 12140 KB Output is correct
18 Correct 15 ms 12288 KB Output is correct
19 Correct 14 ms 12160 KB Output is correct
20 Correct 13 ms 12160 KB Output is correct
21 Correct 13 ms 12160 KB Output is correct
22 Correct 13 ms 12160 KB Output is correct
23 Correct 14 ms 12160 KB Output is correct
24 Correct 14 ms 12160 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12160 KB Output is correct
2 Correct 12 ms 12160 KB Output is correct
3 Correct 13 ms 12160 KB Output is correct
4 Correct 14 ms 12160 KB Output is correct
5 Correct 15 ms 12160 KB Output is correct
6 Correct 14 ms 12160 KB Output is correct
7 Correct 13 ms 12160 KB Output is correct
8 Correct 13 ms 12160 KB Output is correct
9 Correct 12 ms 12160 KB Output is correct
10 Correct 17 ms 12160 KB Output is correct
11 Correct 13 ms 12288 KB Output is correct
12 Correct 14 ms 12160 KB Output is correct
13 Correct 14 ms 12160 KB Output is correct
14 Correct 15 ms 12160 KB Output is correct
15 Correct 14 ms 12160 KB Output is correct
16 Correct 14 ms 12160 KB Output is correct
17 Correct 14 ms 12140 KB Output is correct
18 Correct 15 ms 12288 KB Output is correct
19 Correct 14 ms 12160 KB Output is correct
20 Correct 13 ms 12160 KB Output is correct
21 Correct 13 ms 12160 KB Output is correct
22 Correct 13 ms 12160 KB Output is correct
23 Correct 14 ms 12160 KB Output is correct
24 Correct 14 ms 12160 KB Output is correct
25 Correct 14 ms 12160 KB Output is correct
26 Correct 18 ms 12408 KB Output is correct
27 Correct 15 ms 12288 KB Output is correct
28 Correct 20 ms 12544 KB Output is correct
29 Correct 15 ms 12416 KB Output is correct
30 Correct 17 ms 12416 KB Output is correct
31 Correct 13 ms 12160 KB Output is correct
32 Correct 15 ms 12544 KB Output is correct
33 Correct 14 ms 12132 KB Output is correct
34 Correct 15 ms 12288 KB Output is correct
35 Correct 18 ms 12408 KB Output is correct
36 Correct 17 ms 12416 KB Output is correct
37 Correct 16 ms 12288 KB Output is correct
38 Correct 12 ms 12160 KB Output is correct
39 Correct 16 ms 12288 KB Output is correct
40 Correct 20 ms 12416 KB Output is correct
41 Correct 17 ms 12288 KB Output is correct
42 Correct 15 ms 12416 KB Output is correct
43 Correct 17 ms 12544 KB Output is correct
44 Correct 14 ms 12160 KB Output is correct
45 Correct 17 ms 12520 KB Output is correct
46 Correct 20 ms 12288 KB Output is correct
47 Correct 14 ms 12160 KB Output is correct
48 Correct 16 ms 12284 KB Output is correct
49 Correct 18 ms 12416 KB Output is correct
50 Correct 18 ms 12408 KB Output is correct
51 Correct 16 ms 12416 KB Output is correct
52 Correct 15 ms 12288 KB Output is correct
53 Correct 15 ms 12420 KB Output is correct
54 Correct 15 ms 12288 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12160 KB Output is correct
2 Correct 12 ms 12160 KB Output is correct
3 Correct 13 ms 12160 KB Output is correct
4 Correct 14 ms 12160 KB Output is correct
5 Correct 15 ms 12160 KB Output is correct
6 Correct 14 ms 12160 KB Output is correct
7 Correct 13 ms 12160 KB Output is correct
8 Correct 13 ms 12160 KB Output is correct
9 Correct 12 ms 12160 KB Output is correct
10 Correct 17 ms 12160 KB Output is correct
11 Correct 13 ms 12288 KB Output is correct
12 Correct 14 ms 12160 KB Output is correct
13 Correct 14 ms 12160 KB Output is correct
14 Correct 15 ms 12160 KB Output is correct
15 Correct 14 ms 12160 KB Output is correct
16 Correct 14 ms 12160 KB Output is correct
17 Correct 14 ms 12140 KB Output is correct
18 Correct 15 ms 12288 KB Output is correct
19 Correct 14 ms 12160 KB Output is correct
20 Correct 13 ms 12160 KB Output is correct
21 Correct 13 ms 12160 KB Output is correct
22 Correct 13 ms 12160 KB Output is correct
23 Correct 14 ms 12160 KB Output is correct
24 Correct 14 ms 12160 KB Output is correct
25 Correct 14 ms 12160 KB Output is correct
26 Correct 90 ms 18672 KB Output is correct
27 Correct 137 ms 18552 KB Output is correct
28 Correct 15 ms 12288 KB Output is correct
29 Correct 13 ms 12288 KB Output is correct
30 Correct 12 ms 12160 KB Output is correct
31 Correct 134 ms 18552 KB Output is correct
32 Correct 18 ms 12416 KB Output is correct
33 Correct 182 ms 27080 KB Output is correct
34 Correct 166 ms 18552 KB Output is correct
35 Correct 15 ms 12408 KB Output is correct
36 Correct 163 ms 19392 KB Output is correct
37 Correct 17 ms 12416 KB Output is correct
38 Correct 16 ms 12416 KB Output is correct
39 Correct 89 ms 18792 KB Output is correct
40 Correct 16 ms 12544 KB Output is correct
41 Correct 158 ms 18424 KB Output is correct
42 Correct 188 ms 21292 KB Output is correct
43 Correct 15 ms 12160 KB Output is correct
44 Correct 181 ms 27520 KB Output is correct
45 Correct 152 ms 22904 KB Output is correct
46 Correct 15 ms 12288 KB Output is correct
47 Correct 15 ms 12388 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 18672 KB Output is correct
2 Correct 110 ms 19980 KB Output is correct
3 Correct 15 ms 12408 KB Output is correct
4 Correct 15 ms 12416 KB Output is correct
5 Correct 12 ms 12160 KB Output is correct
6 Correct 12 ms 12160 KB Output is correct
7 Correct 14 ms 12288 KB Output is correct
8 Correct 153 ms 19192 KB Output is correct
9 Correct 15 ms 12288 KB Output is correct
10 Correct 170 ms 18936 KB Output is correct
11 Correct 12 ms 12160 KB Output is correct
12 Correct 166 ms 18744 KB Output is correct
13 Correct 152 ms 19100 KB Output is correct
14 Correct 183 ms 19576 KB Output is correct
15 Correct 85 ms 18672 KB Output is correct
16 Correct 17 ms 12416 KB Output is correct
17 Correct 12 ms 12160 KB Output is correct
18 Correct 120 ms 19812 KB Output is correct
19 Correct 171 ms 24308 KB Output is correct
20 Correct 15 ms 12424 KB Output is correct
21 Correct 12 ms 12160 KB Output is correct
22 Correct 100 ms 19480 KB Output is correct
23 Correct 15 ms 12288 KB Output is correct
24 Correct 167 ms 18824 KB Output is correct
25 Correct 153 ms 22648 KB Output is correct
26 Correct 15 ms 12416 KB Output is correct
27 Correct 15 ms 12416 KB Output is correct
28 Correct 20 ms 12288 KB Output is correct
29 Correct 16 ms 12416 KB Output is correct
30 Correct 16 ms 12424 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12160 KB Output is correct
2 Correct 12 ms 12160 KB Output is correct
3 Correct 13 ms 12160 KB Output is correct
4 Correct 14 ms 12160 KB Output is correct
5 Correct 15 ms 12160 KB Output is correct
6 Correct 14 ms 12160 KB Output is correct
7 Correct 13 ms 12160 KB Output is correct
8 Correct 13 ms 12160 KB Output is correct
9 Correct 12 ms 12160 KB Output is correct
10 Correct 17 ms 12160 KB Output is correct
11 Correct 13 ms 12288 KB Output is correct
12 Correct 14 ms 12160 KB Output is correct
13 Correct 14 ms 12160 KB Output is correct
14 Correct 15 ms 12160 KB Output is correct
15 Correct 14 ms 12160 KB Output is correct
16 Correct 14 ms 12160 KB Output is correct
17 Correct 14 ms 12140 KB Output is correct
18 Correct 15 ms 12288 KB Output is correct
19 Correct 14 ms 12160 KB Output is correct
20 Correct 13 ms 12160 KB Output is correct
21 Correct 13 ms 12160 KB Output is correct
22 Correct 13 ms 12160 KB Output is correct
23 Correct 14 ms 12160 KB Output is correct
24 Correct 14 ms 12160 KB Output is correct
25 Correct 14 ms 12160 KB Output is correct
26 Correct 18 ms 12408 KB Output is correct
27 Correct 15 ms 12288 KB Output is correct
28 Correct 20 ms 12544 KB Output is correct
29 Correct 15 ms 12416 KB Output is correct
30 Correct 17 ms 12416 KB Output is correct
31 Correct 13 ms 12160 KB Output is correct
32 Correct 15 ms 12544 KB Output is correct
33 Correct 14 ms 12132 KB Output is correct
34 Correct 15 ms 12288 KB Output is correct
35 Correct 18 ms 12408 KB Output is correct
36 Correct 17 ms 12416 KB Output is correct
37 Correct 16 ms 12288 KB Output is correct
38 Correct 12 ms 12160 KB Output is correct
39 Correct 16 ms 12288 KB Output is correct
40 Correct 20 ms 12416 KB Output is correct
41 Correct 17 ms 12288 KB Output is correct
42 Correct 15 ms 12416 KB Output is correct
43 Correct 17 ms 12544 KB Output is correct
44 Correct 14 ms 12160 KB Output is correct
45 Correct 17 ms 12520 KB Output is correct
46 Correct 20 ms 12288 KB Output is correct
47 Correct 14 ms 12160 KB Output is correct
48 Correct 16 ms 12284 KB Output is correct
49 Correct 18 ms 12416 KB Output is correct
50 Correct 18 ms 12408 KB Output is correct
51 Correct 16 ms 12416 KB Output is correct
52 Correct 15 ms 12288 KB Output is correct
53 Correct 15 ms 12420 KB Output is correct
54 Correct 15 ms 12288 KB Output is correct
55 Correct 14 ms 12160 KB Output is correct
56 Correct 90 ms 18672 KB Output is correct
57 Correct 137 ms 18552 KB Output is correct
58 Correct 15 ms 12288 KB Output is correct
59 Correct 13 ms 12288 KB Output is correct
60 Correct 12 ms 12160 KB Output is correct
61 Correct 134 ms 18552 KB Output is correct
62 Correct 18 ms 12416 KB Output is correct
63 Correct 182 ms 27080 KB Output is correct
64 Correct 166 ms 18552 KB Output is correct
65 Correct 15 ms 12408 KB Output is correct
66 Correct 163 ms 19392 KB Output is correct
67 Correct 17 ms 12416 KB Output is correct
68 Correct 16 ms 12416 KB Output is correct
69 Correct 89 ms 18792 KB Output is correct
70 Correct 16 ms 12544 KB Output is correct
71 Correct 158 ms 18424 KB Output is correct
72 Correct 188 ms 21292 KB Output is correct
73 Correct 15 ms 12160 KB Output is correct
74 Correct 181 ms 27520 KB Output is correct
75 Correct 152 ms 22904 KB Output is correct
76 Correct 15 ms 12288 KB Output is correct
77 Correct 15 ms 12388 KB Output is correct
78 Correct 83 ms 18672 KB Output is correct
79 Correct 110 ms 19980 KB Output is correct
80 Correct 15 ms 12408 KB Output is correct
81 Correct 15 ms 12416 KB Output is correct
82 Correct 12 ms 12160 KB Output is correct
83 Correct 12 ms 12160 KB Output is correct
84 Correct 14 ms 12288 KB Output is correct
85 Correct 153 ms 19192 KB Output is correct
86 Correct 15 ms 12288 KB Output is correct
87 Correct 170 ms 18936 KB Output is correct
88 Correct 12 ms 12160 KB Output is correct
89 Correct 166 ms 18744 KB Output is correct
90 Correct 152 ms 19100 KB Output is correct
91 Correct 183 ms 19576 KB Output is correct
92 Correct 85 ms 18672 KB Output is correct
93 Correct 17 ms 12416 KB Output is correct
94 Correct 12 ms 12160 KB Output is correct
95 Correct 120 ms 19812 KB Output is correct
96 Correct 171 ms 24308 KB Output is correct
97 Correct 15 ms 12424 KB Output is correct
98 Correct 12 ms 12160 KB Output is correct
99 Correct 100 ms 19480 KB Output is correct
100 Correct 15 ms 12288 KB Output is correct
101 Correct 167 ms 18824 KB Output is correct
102 Correct 153 ms 22648 KB Output is correct
103 Correct 15 ms 12416 KB Output is correct
104 Correct 15 ms 12416 KB Output is correct
105 Correct 20 ms 12288 KB Output is correct
106 Correct 16 ms 12416 KB Output is correct
107 Correct 16 ms 12424 KB Output is correct
108 Correct 952 ms 47720 KB Output is correct
109 Correct 1294 ms 64328 KB Output is correct
110 Correct 1303 ms 77532 KB Output is correct
111 Correct 1438 ms 76268 KB Output is correct
112 Correct 1389 ms 64536 KB Output is correct
113 Correct 939 ms 49652 KB Output is correct
114 Correct 1228 ms 42516 KB Output is correct
115 Correct 1201 ms 42512 KB Output is correct
116 Correct 1369 ms 45096 KB Output is correct
117 Correct 1400 ms 48476 KB Output is correct
118 Correct 1077 ms 43444 KB Output is correct
119 Correct 1425 ms 48528 KB Output is correct
120 Correct 1585 ms 65100 KB Output is correct
121 Correct 1361 ms 48216 KB Output is correct
122 Correct 1317 ms 46668 KB Output is correct
123 Correct 978 ms 49764 KB Output is correct
124 Correct 1316 ms 47552 KB Output is correct