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Submission #113893

# Submission time Handle Problem Language Result Execution time Memory
113893 2019-05-29T05:42:03 Z Mamnoon_Siam Mergers (JOI19_mergers) C++17
100 / 100
 1925 ms 154336 KB 
#include <bits/stdc++.h>
using namespace std;

const int maxn = 5e5 + 5;

int n, k;
int dp[20][maxn];
int where[maxn];
int tym = 0;
vector<int> g[maxn], state[maxn];
int s[maxn];
int lvl[maxn];
int p[maxn], sz[maxn];
using ii = pair<int, int>;
vector<ii> bridges;
int cnt[maxn];

int find(int u) {
	return p[u] == u ? u : p[u] = find(p[u]);
}
void unite(int u, int v) {
	u = find(u);
	v = find(v);
	if(u == v) return;
	if(sz[u] > sz[v]) swap(u, v);
	sz[v] += sz[u];
	p[u] = v;
}

void dfs(int u, int par) {
	for(int v : g[u]) if(v != par) {
		dfs(v, u);
		if(s[v]) unite(u, v);
		else bridges.emplace_back(u, v);
		s[u] += s[v];
	}
}

void dfs0(int u, int par) {
	lvl[u] = par + 1 ? lvl[par] + 1 : 0;
	where[u] = ++ tym;
	dp[0][u] = par;
	for(int i = 1; i <= 19; i++) {
		int mid = dp[i - 1][u];
		if(mid != -1) dp[i][u] = dp[i - 1][mid];
	}
	for(int v : g[u]) if(v != par) {
		dfs0(v, u);
	}
}

int __lca(int u, int v) {
	if(lvl[u] > lvl[v]) swap(u, v);
	int d = lvl[v] - lvl[u];
	for(int i = 19; i >= 0; i--) if(d >> i & 1) {
		v = dp[i][v];
	}
	if(u == v) return u;
	for(int i = 19; i >= 0; i--) {
		if(dp[i][u] != dp[i][v]) {
			u = dp[i][u];
			v = dp[i][v];
		}
	}
	return dp[0][u];
}

int main(int argc, char const *argv[])
{
	// freopen("in", "r", stdin);
	memset(dp, -1, sizeof dp);
	cin >> n >> k;
	for(int i = 1; i < n; i++) {
		int u, v; cin >> u >> v;
		g[u].emplace_back(v);
		g[v].emplace_back(u);
	}
	for(int i = 1; i <= n; i++) {
		int x; cin >> x;
		state[x].emplace_back(i);
	}
	dfs0(1, -1);
	for(int i = 1; i <= k; i++) {
		sort(state[i].begin(), state[i].end(), [&](int x, int y){ return where[x] < where[y]; });
		for(int j = 1; j < state[i].size(); j++) {
			int u = state[i][j - 1], v = state[i][j];
			s[u]++, s[v]++, ----s[__lca(u, v)];
		}
	}
	for(int i = 1; i <= n; i++){
		p[i] = i, sz[i] = 1;
	}
	dfs(1, -1);
	vector<int> tmp;
	for(ii e : bridges) {
		int u = e.first;
		int v = e.second;
		u = find(u);
		v = find(v);
		cnt[u]++;
		cnt[v]++;
		tmp.emplace_back(u);
		tmp.emplace_back(v);
	}
	sort(tmp.begin(), tmp.end());
	tmp.erase(unique(tmp.begin(), tmp.end()), tmp.end());
	int ans = 0;
	for(int u : tmp) {
		if(cnt[u] == 1) ans++;
	}
	ans = (ans + 1) / 2;
	cout << ans << endl;
	return 0;
}

Compilation message

mergers.cpp: In function 'int main(int, const char**)':
mergers.cpp:85:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int j = 1; j < state[i].size(); j++) {
                  ~~^~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 62968 KB Output is correct
2 Correct 49 ms 62968 KB Output is correct
3 Correct 49 ms 62968 KB Output is correct
4 Correct 49 ms 62968 KB Output is correct
5 Correct 48 ms 62940 KB Output is correct
6 Correct 48 ms 62968 KB Output is correct
7 Correct 49 ms 62968 KB Output is correct
8 Correct 51 ms 62968 KB Output is correct
9 Correct 48 ms 62968 KB Output is correct
10 Correct 49 ms 62972 KB Output is correct
11 Correct 49 ms 62968 KB Output is correct
12 Correct 50 ms 62968 KB Output is correct
13 Correct 50 ms 63096 KB Output is correct
14 Correct 48 ms 62968 KB Output is correct
15 Correct 49 ms 62968 KB Output is correct
16 Correct 49 ms 63016 KB Output is correct
17 Correct 50 ms 62944 KB Output is correct
18 Correct 59 ms 62968 KB Output is correct
19 Correct 51 ms 62968 KB Output is correct
20 Correct 50 ms 62968 KB Output is correct
21 Correct 48 ms 62968 KB Output is correct
22 Correct 49 ms 62968 KB Output is correct
23 Correct 50 ms 62968 KB Output is correct
24 Correct 50 ms 63068 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 62968 KB Output is correct
2 Correct 49 ms 62968 KB Output is correct
3 Correct 49 ms 62968 KB Output is correct
4 Correct 49 ms 62968 KB Output is correct
5 Correct 48 ms 62940 KB Output is correct
6 Correct 48 ms 62968 KB Output is correct
7 Correct 49 ms 62968 KB Output is correct
8 Correct 51 ms 62968 KB Output is correct
9 Correct 48 ms 62968 KB Output is correct
10 Correct 49 ms 62972 KB Output is correct
11 Correct 49 ms 62968 KB Output is correct
12 Correct 50 ms 62968 KB Output is correct
13 Correct 50 ms 63096 KB Output is correct
14 Correct 48 ms 62968 KB Output is correct
15 Correct 49 ms 62968 KB Output is correct
16 Correct 49 ms 63016 KB Output is correct
17 Correct 50 ms 62944 KB Output is correct
18 Correct 59 ms 62968 KB Output is correct
19 Correct 51 ms 62968 KB Output is correct
20 Correct 50 ms 62968 KB Output is correct
21 Correct 48 ms 62968 KB Output is correct
22 Correct 49 ms 62968 KB Output is correct
23 Correct 50 ms 62968 KB Output is correct
24 Correct 50 ms 63068 KB Output is correct
25 Correct 49 ms 62968 KB Output is correct
26 Correct 53 ms 63324 KB Output is correct
27 Correct 52 ms 63224 KB Output is correct
28 Correct 53 ms 63480 KB Output is correct
29 Correct 54 ms 63352 KB Output is correct
30 Correct 54 ms 63352 KB Output is correct
31 Correct 50 ms 62968 KB Output is correct
32 Correct 55 ms 63480 KB Output is correct
33 Correct 49 ms 62972 KB Output is correct
34 Correct 52 ms 63224 KB Output is correct
35 Correct 52 ms 63352 KB Output is correct
36 Correct 53 ms 63224 KB Output is correct
37 Correct 53 ms 63224 KB Output is correct
38 Correct 50 ms 63000 KB Output is correct
39 Correct 52 ms 63228 KB Output is correct
40 Correct 52 ms 63224 KB Output is correct
41 Correct 54 ms 63224 KB Output is correct
42 Correct 52 ms 63224 KB Output is correct
43 Correct 54 ms 63480 KB Output is correct
44 Correct 49 ms 62968 KB Output is correct
45 Correct 53 ms 63480 KB Output is correct
46 Correct 55 ms 63352 KB Output is correct
47 Correct 49 ms 62968 KB Output is correct
48 Correct 51 ms 63224 KB Output is correct
49 Correct 52 ms 63352 KB Output is correct
50 Correct 53 ms 63456 KB Output is correct
51 Correct 52 ms 63224 KB Output is correct
52 Correct 55 ms 63224 KB Output is correct
53 Correct 52 ms 63352 KB Output is correct
54 Correct 51 ms 63224 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 62968 KB Output is correct
2 Correct 49 ms 62968 KB Output is correct
3 Correct 49 ms 62968 KB Output is correct
4 Correct 49 ms 62968 KB Output is correct
5 Correct 48 ms 62940 KB Output is correct
6 Correct 48 ms 62968 KB Output is correct
7 Correct 49 ms 62968 KB Output is correct
8 Correct 51 ms 62968 KB Output is correct
9 Correct 48 ms 62968 KB Output is correct
10 Correct 49 ms 62972 KB Output is correct
11 Correct 49 ms 62968 KB Output is correct
12 Correct 50 ms 62968 KB Output is correct
13 Correct 50 ms 63096 KB Output is correct
14 Correct 48 ms 62968 KB Output is correct
15 Correct 49 ms 62968 KB Output is correct
16 Correct 49 ms 63016 KB Output is correct
17 Correct 50 ms 62944 KB Output is correct
18 Correct 59 ms 62968 KB Output is correct
19 Correct 51 ms 62968 KB Output is correct
20 Correct 50 ms 62968 KB Output is correct
21 Correct 48 ms 62968 KB Output is correct
22 Correct 49 ms 62968 KB Output is correct
23 Correct 50 ms 62968 KB Output is correct
24 Correct 50 ms 63068 KB Output is correct
25 Correct 49 ms 62968 KB Output is correct
26 Correct 199 ms 70652 KB Output is correct
27 Correct 240 ms 70236 KB Output is correct
28 Correct 53 ms 63224 KB Output is correct
29 Correct 50 ms 62968 KB Output is correct
30 Correct 49 ms 62968 KB Output is correct
31 Correct 246 ms 70264 KB Output is correct
32 Correct 57 ms 63224 KB Output is correct
33 Correct 268 ms 78712 KB Output is correct
34 Correct 242 ms 70264 KB Output is correct
35 Correct 53 ms 63224 KB Output is correct
36 Correct 250 ms 71160 KB Output is correct
37 Correct 56 ms 63224 KB Output is correct
38 Correct 53 ms 63224 KB Output is correct
39 Correct 215 ms 70384 KB Output is correct
40 Correct 52 ms 63480 KB Output is correct
41 Correct 237 ms 70104 KB Output is correct
42 Correct 254 ms 72996 KB Output is correct
43 Correct 50 ms 62968 KB Output is correct
44 Correct 263 ms 79032 KB Output is correct
45 Correct 274 ms 74820 KB Output is correct
46 Correct 52 ms 63224 KB Output is correct
47 Correct 53 ms 63352 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 204 ms 70512 KB Output is correct
2 Correct 219 ms 75760 KB Output is correct
3 Correct 53 ms 63224 KB Output is correct
4 Correct 51 ms 63224 KB Output is correct
5 Correct 49 ms 62972 KB Output is correct
6 Correct 48 ms 62916 KB Output is correct
7 Correct 51 ms 63176 KB Output is correct
8 Correct 266 ms 72312 KB Output is correct
9 Correct 53 ms 63224 KB Output is correct
10 Correct 237 ms 70664 KB Output is correct
11 Correct 51 ms 62968 KB Output is correct
12 Correct 248 ms 70744 KB Output is correct
13 Correct 271 ms 72356 KB Output is correct
14 Correct 258 ms 75756 KB Output is correct
15 Correct 199 ms 70384 KB Output is correct
16 Correct 53 ms 63352 KB Output is correct
17 Correct 50 ms 62968 KB Output is correct
18 Correct 232 ms 75620 KB Output is correct
19 Correct 295 ms 80660 KB Output is correct
20 Correct 54 ms 63224 KB Output is correct
21 Correct 50 ms 62968 KB Output is correct
22 Correct 230 ms 72656 KB Output is correct
23 Correct 56 ms 63224 KB Output is correct
24 Correct 262 ms 71544 KB Output is correct
25 Correct 302 ms 78956 KB Output is correct
26 Correct 54 ms 63480 KB Output is correct
27 Correct 53 ms 63480 KB Output is correct
28 Correct 54 ms 63224 KB Output is correct
29 Correct 52 ms 63224 KB Output is correct
30 Correct 53 ms 63352 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 62968 KB Output is correct
2 Correct 49 ms 62968 KB Output is correct
3 Correct 49 ms 62968 KB Output is correct
4 Correct 49 ms 62968 KB Output is correct
5 Correct 48 ms 62940 KB Output is correct
6 Correct 48 ms 62968 KB Output is correct
7 Correct 49 ms 62968 KB Output is correct
8 Correct 51 ms 62968 KB Output is correct
9 Correct 48 ms 62968 KB Output is correct
10 Correct 49 ms 62972 KB Output is correct
11 Correct 49 ms 62968 KB Output is correct
12 Correct 50 ms 62968 KB Output is correct
13 Correct 50 ms 63096 KB Output is correct
14 Correct 48 ms 62968 KB Output is correct
15 Correct 49 ms 62968 KB Output is correct
16 Correct 49 ms 63016 KB Output is correct
17 Correct 50 ms 62944 KB Output is correct
18 Correct 59 ms 62968 KB Output is correct
19 Correct 51 ms 62968 KB Output is correct
20 Correct 50 ms 62968 KB Output is correct
21 Correct 48 ms 62968 KB Output is correct
22 Correct 49 ms 62968 KB Output is correct
23 Correct 50 ms 62968 KB Output is correct
24 Correct 50 ms 63068 KB Output is correct
25 Correct 49 ms 62968 KB Output is correct
26 Correct 53 ms 63324 KB Output is correct
27 Correct 52 ms 63224 KB Output is correct
28 Correct 53 ms 63480 KB Output is correct
29 Correct 54 ms 63352 KB Output is correct
30 Correct 54 ms 63352 KB Output is correct
31 Correct 50 ms 62968 KB Output is correct
32 Correct 55 ms 63480 KB Output is correct
33 Correct 49 ms 62972 KB Output is correct
34 Correct 52 ms 63224 KB Output is correct
35 Correct 52 ms 63352 KB Output is correct
36 Correct 53 ms 63224 KB Output is correct
37 Correct 53 ms 63224 KB Output is correct
38 Correct 50 ms 63000 KB Output is correct
39 Correct 52 ms 63228 KB Output is correct
40 Correct 52 ms 63224 KB Output is correct
41 Correct 54 ms 63224 KB Output is correct
42 Correct 52 ms 63224 KB Output is correct
43 Correct 54 ms 63480 KB Output is correct
44 Correct 49 ms 62968 KB Output is correct
45 Correct 53 ms 63480 KB Output is correct
46 Correct 55 ms 63352 KB Output is correct
47 Correct 49 ms 62968 KB Output is correct
48 Correct 51 ms 63224 KB Output is correct
49 Correct 52 ms 63352 KB Output is correct
50 Correct 53 ms 63456 KB Output is correct
51 Correct 52 ms 63224 KB Output is correct
52 Correct 55 ms 63224 KB Output is correct
53 Correct 52 ms 63352 KB Output is correct
54 Correct 51 ms 63224 KB Output is correct
55 Correct 49 ms 62968 KB Output is correct
56 Correct 199 ms 70652 KB Output is correct
57 Correct 240 ms 70236 KB Output is correct
58 Correct 53 ms 63224 KB Output is correct
59 Correct 50 ms 62968 KB Output is correct
60 Correct 49 ms 62968 KB Output is correct
61 Correct 246 ms 70264 KB Output is correct
62 Correct 57 ms 63224 KB Output is correct
63 Correct 268 ms 78712 KB Output is correct
64 Correct 242 ms 70264 KB Output is correct
65 Correct 53 ms 63224 KB Output is correct
66 Correct 250 ms 71160 KB Output is correct
67 Correct 56 ms 63224 KB Output is correct
68 Correct 53 ms 63224 KB Output is correct
69 Correct 215 ms 70384 KB Output is correct
70 Correct 52 ms 63480 KB Output is correct
71 Correct 237 ms 70104 KB Output is correct
72 Correct 254 ms 72996 KB Output is correct
73 Correct 50 ms 62968 KB Output is correct
74 Correct 263 ms 79032 KB Output is correct
75 Correct 274 ms 74820 KB Output is correct
76 Correct 52 ms 63224 KB Output is correct
77 Correct 53 ms 63352 KB Output is correct
78 Correct 204 ms 70512 KB Output is correct
79 Correct 219 ms 75760 KB Output is correct
80 Correct 53 ms 63224 KB Output is correct
81 Correct 51 ms 63224 KB Output is correct
82 Correct 49 ms 62972 KB Output is correct
83 Correct 48 ms 62916 KB Output is correct
84 Correct 51 ms 63176 KB Output is correct
85 Correct 266 ms 72312 KB Output is correct
86 Correct 53 ms 63224 KB Output is correct
87 Correct 237 ms 70664 KB Output is correct
88 Correct 51 ms 62968 KB Output is correct
89 Correct 248 ms 70744 KB Output is correct
90 Correct 271 ms 72356 KB Output is correct
91 Correct 258 ms 75756 KB Output is correct
92 Correct 199 ms 70384 KB Output is correct
93 Correct 53 ms 63352 KB Output is correct
94 Correct 50 ms 62968 KB Output is correct
95 Correct 232 ms 75620 KB Output is correct
96 Correct 295 ms 80660 KB Output is correct
97 Correct 54 ms 63224 KB Output is correct
98 Correct 50 ms 62968 KB Output is correct
99 Correct 230 ms 72656 KB Output is correct
100 Correct 56 ms 63224 KB Output is correct
101 Correct 262 ms 71544 KB Output is correct
102 Correct 302 ms 78956 KB Output is correct
103 Correct 54 ms 63480 KB Output is correct
104 Correct 53 ms 63480 KB Output is correct
105 Correct 54 ms 63224 KB Output is correct
106 Correct 52 ms 63224 KB Output is correct
107 Correct 53 ms 63352 KB Output is correct
108 Correct 1352 ms 110200 KB Output is correct
109 Correct 1611 ms 120528 KB Output is correct
110 Correct 1777 ms 134036 KB Output is correct
111 Correct 1925 ms 154336 KB Output is correct
112 Correct 1899 ms 140964 KB Output is correct
113 Correct 1270 ms 126060 KB Output is correct
114 Correct 1413 ms 98784 KB Output is correct
115 Correct 1437 ms 98688 KB Output is correct
116 Correct 1732 ms 105196 KB Output is correct
117 Correct 1485 ms 126816 KB Output is correct
118 Correct 1469 ms 101352 KB Output is correct
119 Correct 1463 ms 126684 KB Output is correct
120 Correct 1834 ms 143516 KB Output is correct
121 Correct 1494 ms 126824 KB Output is correct
122 Correct 1647 ms 112440 KB Output is correct
123 Correct 1220 ms 126300 KB Output is correct
124 Correct 1674 ms 124268 KB Output is correct