oj.uz

Submission #827646

# Submission time Handle Problem Language Result Execution time Memory
827646 2023-08-16T15:41:09 Z happypotato Mergers (JOI19_mergers) C++17
100 / 100
 885 ms 136704 KB 
#include <bits/stdc++.h>
using namespace std;
#define pii pair<int, int>
#define ff first
#define ss second
#define pb push_back
const int mxN = 5e5 + 1;
vector<int> adj[mxN];
int a[mxN];
vector<int> state[mxN];
int n, k;
void Input() {
	cin >> n >> k;
	for (int i = 0; i < n - 1; i++) {
		int u, v;
		cin >> u >> v;
		adj[u].pb(v);
		adj[v].pb(u);
	}
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
		state[a[i]].pb(i);
	}
}
int tt = 0;
int dep[mxN];
pii range[mxN];
int lift[mxN][20];
void dfs1(int u = 1, int par = 0, int depth = 1) {
	dep[u] = depth;
	range[u].ff = ++tt;
	lift[u][0] = par;
	for (int &v : adj[u]) {
		if (v == par) continue;
		dfs1(v, u, depth + 1);
	}
	range[u].ss = tt;
}
void BuildLift() {
	for (int bit = 1; bit < 20; bit++) {
		for (int i = 1; i <= n; i++) {
			lift[i][bit] = lift[lift[i][bit - 1]][bit - 1];
		}
	}
}
int FindLCA(int u, int v) {
	if (dep[u] > dep[v]) swap(u, v);
	int diff = dep[v] - dep[u];
	for (int i = 19; i >= 0; i--) {
		if (diff & (1 << i)) {
			v = lift[v][i];
		}
	}
	if (u == v) return u;
	for (int i = 19; i >= 0; i--) {
		if (lift[u][i] != lift[v][i]) {
			u = lift[u][i];
			v = lift[v][i];
		}
	}
	return lift[u][0];
}
bool cmp(int &x, int &y) {
	return range[x].ff < range[y].ff;
}
int dp[mxN];
void dfs2(int u = 1, int par = 0) {
	for (int &v : adj[u]) {
		if (v == par) continue;
		dfs2(v, u);
		dp[u] += dp[v];
	}
}
int dsupp[mxN];
int DSUFind(int u) {
	if (dsupp[u] == 0) return u;
	return (dsupp[u] = DSUFind(dsupp[u]));
}
void DSUMerge(int u, int v) {
	u = DSUFind(u);
	v = DSUFind(v);
	if (u != v) dsupp[v] = u;
}
int deg[mxN];
void solve() {
	Input();
	dfs1();
	BuildLift();
	for (int i = 1; i <= k; i++) {
		sort(state[i].begin(), state[i].end(), cmp);
		for (int j = 1; j < (int)(state[i].size()); j++) {
			int u = state[i][j - 1], v = state[i][j];
			int lca = FindLCA(u, v);
			// colour edges from u to lca and from v to lca
			dp[u]++; dp[lca]--;
			dp[v]++; dp[lca]--;
		}
	}
	dfs2();
	for (int i = 2; i <= n; i++) {
		if (dp[i] > 0) {
			DSUMerge(i, lift[i][0]);
		}
	}
	// find degree of tree after merging
	for (int i = 2; i <= n; i++) {
		if (dp[i] == 0) {
			deg[DSUFind(i)]++;
			deg[DSUFind(lift[i][0])]++;
		}
	}
	int leaves = 0;
	for (int i = 1; i <= n; i++) {
		leaves += (deg[i] == 1);
	}
	cout << (leaves + 1) / 2 << endl;
}
int32_t main() {
	ios::sync_with_stdio(0); cin.tie(0);
	solve();
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 11 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 9 ms 23764 KB Output is correct
5 Correct 10 ms 23764 KB Output is correct
6 Correct 16 ms 23868 KB Output is correct
7 Correct 12 ms 23820 KB Output is correct
8 Correct 13 ms 23864 KB Output is correct
9 Correct 13 ms 23812 KB Output is correct
10 Correct 16 ms 23764 KB Output is correct
11 Correct 14 ms 23764 KB Output is correct
12 Correct 14 ms 23820 KB Output is correct
13 Correct 12 ms 23748 KB Output is correct
14 Correct 12 ms 23764 KB Output is correct
15 Correct 10 ms 23764 KB Output is correct
16 Correct 14 ms 23852 KB Output is correct
17 Correct 14 ms 23772 KB Output is correct
18 Correct 12 ms 23876 KB Output is correct
19 Correct 13 ms 23816 KB Output is correct
20 Correct 12 ms 23824 KB Output is correct
21 Correct 13 ms 23764 KB Output is correct
22 Correct 11 ms 23820 KB Output is correct
23 Correct 12 ms 23836 KB Output is correct
24 Correct 15 ms 23824 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 11 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 9 ms 23764 KB Output is correct
5 Correct 10 ms 23764 KB Output is correct
6 Correct 16 ms 23868 KB Output is correct
7 Correct 12 ms 23820 KB Output is correct
8 Correct 13 ms 23864 KB Output is correct
9 Correct 13 ms 23812 KB Output is correct
10 Correct 16 ms 23764 KB Output is correct
11 Correct 14 ms 23764 KB Output is correct
12 Correct 14 ms 23820 KB Output is correct
13 Correct 12 ms 23748 KB Output is correct
14 Correct 12 ms 23764 KB Output is correct
15 Correct 10 ms 23764 KB Output is correct
16 Correct 14 ms 23852 KB Output is correct
17 Correct 14 ms 23772 KB Output is correct
18 Correct 12 ms 23876 KB Output is correct
19 Correct 13 ms 23816 KB Output is correct
20 Correct 12 ms 23824 KB Output is correct
21 Correct 13 ms 23764 KB Output is correct
22 Correct 11 ms 23820 KB Output is correct
23 Correct 12 ms 23836 KB Output is correct
24 Correct 15 ms 23824 KB Output is correct
25 Correct 12 ms 23764 KB Output is correct
26 Correct 14 ms 24344 KB Output is correct
27 Correct 14 ms 24276 KB Output is correct
28 Correct 16 ms 24476 KB Output is correct
29 Correct 13 ms 24308 KB Output is correct
30 Correct 17 ms 24244 KB Output is correct
31 Correct 12 ms 23764 KB Output is correct
32 Correct 15 ms 24532 KB Output is correct
33 Correct 14 ms 23820 KB Output is correct
34 Correct 13 ms 24260 KB Output is correct
35 Correct 14 ms 24368 KB Output is correct
36 Correct 15 ms 24220 KB Output is correct
37 Correct 14 ms 24344 KB Output is correct
38 Correct 13 ms 23828 KB Output is correct
39 Correct 13 ms 24276 KB Output is correct
40 Correct 16 ms 24244 KB Output is correct
41 Correct 17 ms 24276 KB Output is correct
42 Correct 15 ms 24332 KB Output is correct
43 Correct 17 ms 24464 KB Output is correct
44 Correct 12 ms 23892 KB Output is correct
45 Correct 13 ms 24404 KB Output is correct
46 Correct 17 ms 24276 KB Output is correct
47 Correct 13 ms 23820 KB Output is correct
48 Correct 14 ms 24292 KB Output is correct
49 Correct 13 ms 24276 KB Output is correct
50 Correct 12 ms 24420 KB Output is correct
51 Correct 17 ms 24344 KB Output is correct
52 Correct 15 ms 24280 KB Output is correct
53 Correct 13 ms 24296 KB Output is correct
54 Correct 12 ms 24252 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 11 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 9 ms 23764 KB Output is correct
5 Correct 10 ms 23764 KB Output is correct
6 Correct 16 ms 23868 KB Output is correct
7 Correct 12 ms 23820 KB Output is correct
8 Correct 13 ms 23864 KB Output is correct
9 Correct 13 ms 23812 KB Output is correct
10 Correct 16 ms 23764 KB Output is correct
11 Correct 14 ms 23764 KB Output is correct
12 Correct 14 ms 23820 KB Output is correct
13 Correct 12 ms 23748 KB Output is correct
14 Correct 12 ms 23764 KB Output is correct
15 Correct 10 ms 23764 KB Output is correct
16 Correct 14 ms 23852 KB Output is correct
17 Correct 14 ms 23772 KB Output is correct
18 Correct 12 ms 23876 KB Output is correct
19 Correct 13 ms 23816 KB Output is correct
20 Correct 12 ms 23824 KB Output is correct
21 Correct 13 ms 23764 KB Output is correct
22 Correct 11 ms 23820 KB Output is correct
23 Correct 12 ms 23836 KB Output is correct
24 Correct 15 ms 23824 KB Output is correct
25 Correct 14 ms 23828 KB Output is correct
26 Correct 82 ms 39556 KB Output is correct
27 Correct 95 ms 39228 KB Output is correct
28 Correct 15 ms 24276 KB Output is correct
29 Correct 13 ms 23848 KB Output is correct
30 Correct 12 ms 23772 KB Output is correct
31 Correct 88 ms 39160 KB Output is correct
32 Correct 13 ms 24216 KB Output is correct
33 Correct 103 ms 44920 KB Output is correct
34 Correct 101 ms 39204 KB Output is correct
35 Correct 14 ms 24332 KB Output is correct
36 Correct 90 ms 39832 KB Output is correct
37 Correct 17 ms 24276 KB Output is correct
38 Correct 14 ms 24276 KB Output is correct
39 Correct 70 ms 39372 KB Output is correct
40 Correct 16 ms 24476 KB Output is correct
41 Correct 86 ms 39144 KB Output is correct
42 Correct 115 ms 41068 KB Output is correct
43 Correct 15 ms 23824 KB Output is correct
44 Correct 121 ms 45080 KB Output is correct
45 Correct 107 ms 42196 KB Output is correct
46 Correct 14 ms 24224 KB Output is correct
47 Correct 14 ms 24276 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 39552 KB Output is correct
2 Correct 58 ms 41996 KB Output is correct
3 Correct 12 ms 24276 KB Output is correct
4 Correct 13 ms 24264 KB Output is correct
5 Correct 12 ms 23820 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 16 ms 24312 KB Output is correct
8 Correct 107 ms 40940 KB Output is correct
9 Correct 18 ms 24224 KB Output is correct
10 Correct 81 ms 39668 KB Output is correct
11 Correct 14 ms 23800 KB Output is correct
12 Correct 85 ms 39684 KB Output is correct
13 Correct 82 ms 40772 KB Output is correct
14 Correct 75 ms 42064 KB Output is correct
15 Correct 65 ms 39480 KB Output is correct
16 Correct 14 ms 24276 KB Output is correct
17 Correct 16 ms 23812 KB Output is correct
18 Correct 70 ms 42396 KB Output is correct
19 Correct 109 ms 45216 KB Output is correct
20 Correct 12 ms 24284 KB Output is correct
21 Correct 14 ms 23752 KB Output is correct
22 Correct 85 ms 41080 KB Output is correct
23 Correct 15 ms 24312 KB Output is correct
24 Correct 124 ms 40016 KB Output is correct
25 Correct 86 ms 44140 KB Output is correct
26 Correct 19 ms 24284 KB Output is correct
27 Correct 13 ms 24332 KB Output is correct
28 Correct 13 ms 24352 KB Output is correct
29 Correct 16 ms 24276 KB Output is correct
30 Correct 18 ms 24276 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 23764 KB Output is correct
2 Correct 11 ms 23764 KB Output is correct
3 Correct 10 ms 23764 KB Output is correct
4 Correct 9 ms 23764 KB Output is correct
5 Correct 10 ms 23764 KB Output is correct
6 Correct 16 ms 23868 KB Output is correct
7 Correct 12 ms 23820 KB Output is correct
8 Correct 13 ms 23864 KB Output is correct
9 Correct 13 ms 23812 KB Output is correct
10 Correct 16 ms 23764 KB Output is correct
11 Correct 14 ms 23764 KB Output is correct
12 Correct 14 ms 23820 KB Output is correct
13 Correct 12 ms 23748 KB Output is correct
14 Correct 12 ms 23764 KB Output is correct
15 Correct 10 ms 23764 KB Output is correct
16 Correct 14 ms 23852 KB Output is correct
17 Correct 14 ms 23772 KB Output is correct
18 Correct 12 ms 23876 KB Output is correct
19 Correct 13 ms 23816 KB Output is correct
20 Correct 12 ms 23824 KB Output is correct
21 Correct 13 ms 23764 KB Output is correct
22 Correct 11 ms 23820 KB Output is correct
23 Correct 12 ms 23836 KB Output is correct
24 Correct 15 ms 23824 KB Output is correct
25 Correct 12 ms 23764 KB Output is correct
26 Correct 14 ms 24344 KB Output is correct
27 Correct 14 ms 24276 KB Output is correct
28 Correct 16 ms 24476 KB Output is correct
29 Correct 13 ms 24308 KB Output is correct
30 Correct 17 ms 24244 KB Output is correct
31 Correct 12 ms 23764 KB Output is correct
32 Correct 15 ms 24532 KB Output is correct
33 Correct 14 ms 23820 KB Output is correct
34 Correct 13 ms 24260 KB Output is correct
35 Correct 14 ms 24368 KB Output is correct
36 Correct 15 ms 24220 KB Output is correct
37 Correct 14 ms 24344 KB Output is correct
38 Correct 13 ms 23828 KB Output is correct
39 Correct 13 ms 24276 KB Output is correct
40 Correct 16 ms 24244 KB Output is correct
41 Correct 17 ms 24276 KB Output is correct
42 Correct 15 ms 24332 KB Output is correct
43 Correct 17 ms 24464 KB Output is correct
44 Correct 12 ms 23892 KB Output is correct
45 Correct 13 ms 24404 KB Output is correct
46 Correct 17 ms 24276 KB Output is correct
47 Correct 13 ms 23820 KB Output is correct
48 Correct 14 ms 24292 KB Output is correct
49 Correct 13 ms 24276 KB Output is correct
50 Correct 12 ms 24420 KB Output is correct
51 Correct 17 ms 24344 KB Output is correct
52 Correct 15 ms 24280 KB Output is correct
53 Correct 13 ms 24296 KB Output is correct
54 Correct 12 ms 24252 KB Output is correct
55 Correct 14 ms 23828 KB Output is correct
56 Correct 82 ms 39556 KB Output is correct
57 Correct 95 ms 39228 KB Output is correct
58 Correct 15 ms 24276 KB Output is correct
59 Correct 13 ms 23848 KB Output is correct
60 Correct 12 ms 23772 KB Output is correct
61 Correct 88 ms 39160 KB Output is correct
62 Correct 13 ms 24216 KB Output is correct
63 Correct 103 ms 44920 KB Output is correct
64 Correct 101 ms 39204 KB Output is correct
65 Correct 14 ms 24332 KB Output is correct
66 Correct 90 ms 39832 KB Output is correct
67 Correct 17 ms 24276 KB Output is correct
68 Correct 14 ms 24276 KB Output is correct
69 Correct 70 ms 39372 KB Output is correct
70 Correct 16 ms 24476 KB Output is correct
71 Correct 86 ms 39144 KB Output is correct
72 Correct 115 ms 41068 KB Output is correct
73 Correct 15 ms 23824 KB Output is correct
74 Correct 121 ms 45080 KB Output is correct
75 Correct 107 ms 42196 KB Output is correct
76 Correct 14 ms 24224 KB Output is correct
77 Correct 14 ms 24276 KB Output is correct
78 Correct 98 ms 39552 KB Output is correct
79 Correct 58 ms 41996 KB Output is correct
80 Correct 12 ms 24276 KB Output is correct
81 Correct 13 ms 24264 KB Output is correct
82 Correct 12 ms 23820 KB Output is correct
83 Correct 12 ms 23764 KB Output is correct
84 Correct 16 ms 24312 KB Output is correct
85 Correct 107 ms 40940 KB Output is correct
86 Correct 18 ms 24224 KB Output is correct
87 Correct 81 ms 39668 KB Output is correct
88 Correct 14 ms 23800 KB Output is correct
89 Correct 85 ms 39684 KB Output is correct
90 Correct 82 ms 40772 KB Output is correct
91 Correct 75 ms 42064 KB Output is correct
92 Correct 65 ms 39480 KB Output is correct
93 Correct 14 ms 24276 KB Output is correct
94 Correct 16 ms 23812 KB Output is correct
95 Correct 70 ms 42396 KB Output is correct
96 Correct 109 ms 45216 KB Output is correct
97 Correct 12 ms 24284 KB Output is correct
98 Correct 14 ms 23752 KB Output is correct
99 Correct 85 ms 41080 KB Output is correct
100 Correct 15 ms 24312 KB Output is correct
101 Correct 124 ms 40016 KB Output is correct
102 Correct 86 ms 44140 KB Output is correct
103 Correct 19 ms 24284 KB Output is correct
104 Correct 13 ms 24332 KB Output is correct
105 Correct 13 ms 24352 KB Output is correct
106 Correct 16 ms 24276 KB Output is correct
107 Correct 18 ms 24276 KB Output is correct
108 Correct 551 ms 110560 KB Output is correct
109 Correct 782 ms 114844 KB Output is correct
110 Correct 879 ms 123816 KB Output is correct
111 Correct 885 ms 136704 KB Output is correct
112 Correct 711 ms 128692 KB Output is correct
113 Correct 563 ms 118292 KB Output is correct
114 Correct 606 ms 100516 KB Output is correct
115 Correct 688 ms 100520 KB Output is correct
116 Correct 840 ms 106884 KB Output is correct
117 Correct 608 ms 116380 KB Output is correct
118 Correct 729 ms 101972 KB Output is correct
119 Correct 634 ms 116536 KB Output is correct
120 Correct 833 ms 127424 KB Output is correct
121 Correct 619 ms 118256 KB Output is correct
122 Correct 823 ms 112064 KB Output is correct
123 Correct 496 ms 116060 KB Output is correct
124 Correct 843 ms 116356 KB Output is correct