oj.uz

Submission #209060

# Submission time Handle Problem Language Result Execution time Memory
209060 2020-03-13T04:19:47 Z bensonlzl Mergers (JOI19_mergers) C++14
100 / 100
 1132 ms 154296 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
int N, K, X, Y, state[500005], par[500005], sz[500005], anc[500005];
int lca[500005][20], depth[500005];
vector<int> AdjList[500005], AdjList2[500005], st[500005];
 
void dfs_init(int x, int p){
	anc[x] = p;
	lca[x][0] = p;
	for (int i = 1; i < 20; ++i){
		lca[x][i] = lca[lca[x][i-1]][i-1];
	}
	for (auto it : AdjList[x]){
		if (it == p) continue;
		depth[it] = depth[x] + 1;
		dfs_init(it,x);
	}
}
 
int get_lca(int x, int y){
	if (depth[x] > depth[y]) swap(x,y);
	int d = depth[y] - depth[x];
	for (int i = 0; i < 20; ++i){
		if (d & (1 << i)){
			y = lca[y][i];
		}
	}
	if (x == y) return x;
	for (int i = 19; i >= 0; --i){
		if (lca[x][i] != lca[y][i]){
			x = lca[x][i];
			y = lca[y][i];
		}
	}
	return lca[x][0];
}
 
int find_par(int x){
	if (x != par[x]) par[x] = find_par(par[x]);
	return par[x];
}
 
void merg(int x, int y){
	int X = find_par(x), Y = find_par(y);
	if (X == Y) return;
	if (sz[X] < sz[Y]) swap(X,Y);
	par[Y] = X;
	sz[X] += sz[Y];
	if (depth[anc[Y]] < depth[anc[X]]){
		anc[X] = anc[Y];
	}
}
 
void combine(int x, int t){
	int X = find_par(x), T = find_par(t);
	if (X == T) return;
	combine(anc[X],T);
	merg(X,anc[X]);
}
 
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cin >> N >> K;
	for (int i = 1; i < N; ++i){
		cin >> X >> Y;
		AdjList[X].push_back(Y);
		AdjList[Y].push_back(X);
	}
	for (int i = 1; i <= N; ++i){
		par[i] = i;
		sz[i] = 1;
		cin >> state[i];
		st[state[i]].push_back(i);
	}
	dfs_init(1,0);
	merg(1,0);
	for (int i = 1; i <= K; ++i){
		int L = st[i][0];
		for (int j = 1; j < st[i].size(); ++j){
			L = get_lca(L,st[i][j]);
		}
		//cout << i << ' ' << L << '\n';
		for (auto it : st[i]){
			combine(it,L);
		}
	}
	/*
	for (int i = 1; i <= N; ++i){
		cout << i << ' ' << find_par(i) << '\n';
	}
	cout << '\n';
	*/
	for (int i = 1; i <= N; ++i){
		for (auto it : AdjList[i]){
			if (find_par(i) != find_par(it)){
				AdjList2[find_par(i)].push_back(find_par(it));
			}
		}
	}
	int leaves = 0;
	for (int i = 0; i <= N; ++i){
		if (AdjList2[i].size() == 1) leaves++;
	}
	cout << (leaves+1)/2 << '\n';
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:82:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 1; j < st[i].size(); ++j){
                   ~~^~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 35576 KB Output is correct
2 Correct 25 ms 35576 KB Output is correct
3 Correct 26 ms 35580 KB Output is correct
4 Correct 25 ms 35576 KB Output is correct
5 Correct 26 ms 35704 KB Output is correct
6 Correct 25 ms 35576 KB Output is correct
7 Correct 25 ms 35576 KB Output is correct
8 Correct 25 ms 35576 KB Output is correct
9 Correct 26 ms 35576 KB Output is correct
10 Correct 25 ms 35576 KB Output is correct
11 Correct 26 ms 35576 KB Output is correct
12 Correct 25 ms 35576 KB Output is correct
13 Correct 25 ms 35576 KB Output is correct
14 Correct 25 ms 35576 KB Output is correct
15 Correct 26 ms 35576 KB Output is correct
16 Correct 26 ms 35576 KB Output is correct
17 Correct 26 ms 35576 KB Output is correct
18 Correct 26 ms 35576 KB Output is correct
19 Correct 26 ms 35576 KB Output is correct
20 Correct 26 ms 35576 KB Output is correct
21 Correct 27 ms 35576 KB Output is correct
22 Correct 25 ms 35576 KB Output is correct
23 Correct 26 ms 35576 KB Output is correct
24 Correct 27 ms 35576 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 35576 KB Output is correct
2 Correct 25 ms 35576 KB Output is correct
3 Correct 26 ms 35580 KB Output is correct
4 Correct 25 ms 35576 KB Output is correct
5 Correct 26 ms 35704 KB Output is correct
6 Correct 25 ms 35576 KB Output is correct
7 Correct 25 ms 35576 KB Output is correct
8 Correct 25 ms 35576 KB Output is correct
9 Correct 26 ms 35576 KB Output is correct
10 Correct 25 ms 35576 KB Output is correct
11 Correct 26 ms 35576 KB Output is correct
12 Correct 25 ms 35576 KB Output is correct
13 Correct 25 ms 35576 KB Output is correct
14 Correct 25 ms 35576 KB Output is correct
15 Correct 26 ms 35576 KB Output is correct
16 Correct 26 ms 35576 KB Output is correct
17 Correct 26 ms 35576 KB Output is correct
18 Correct 26 ms 35576 KB Output is correct
19 Correct 26 ms 35576 KB Output is correct
20 Correct 26 ms 35576 KB Output is correct
21 Correct 27 ms 35576 KB Output is correct
22 Correct 25 ms 35576 KB Output is correct
23 Correct 26 ms 35576 KB Output is correct
24 Correct 27 ms 35576 KB Output is correct
25 Correct 26 ms 35576 KB Output is correct
26 Correct 28 ms 36216 KB Output is correct
27 Correct 28 ms 36088 KB Output is correct
28 Correct 28 ms 36216 KB Output is correct
29 Correct 29 ms 36216 KB Output is correct
30 Correct 27 ms 36088 KB Output is correct
31 Correct 25 ms 35576 KB Output is correct
32 Correct 27 ms 36216 KB Output is correct
33 Correct 26 ms 35576 KB Output is correct
34 Correct 27 ms 36088 KB Output is correct
35 Correct 29 ms 36216 KB Output is correct
36 Correct 28 ms 36088 KB Output is correct
37 Correct 28 ms 36088 KB Output is correct
38 Correct 27 ms 35576 KB Output is correct
39 Correct 28 ms 36088 KB Output is correct
40 Correct 34 ms 36088 KB Output is correct
41 Correct 27 ms 36088 KB Output is correct
42 Correct 27 ms 36088 KB Output is correct
43 Correct 29 ms 36164 KB Output is correct
44 Correct 25 ms 35708 KB Output is correct
45 Correct 28 ms 36088 KB Output is correct
46 Correct 27 ms 36088 KB Output is correct
47 Correct 27 ms 35576 KB Output is correct
48 Correct 28 ms 36088 KB Output is correct
49 Correct 27 ms 36216 KB Output is correct
50 Correct 29 ms 36216 KB Output is correct
51 Correct 28 ms 36088 KB Output is correct
52 Correct 27 ms 36088 KB Output is correct
53 Correct 27 ms 36088 KB Output is correct
54 Correct 28 ms 36088 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 35576 KB Output is correct
2 Correct 25 ms 35576 KB Output is correct
3 Correct 26 ms 35580 KB Output is correct
4 Correct 25 ms 35576 KB Output is correct
5 Correct 26 ms 35704 KB Output is correct
6 Correct 25 ms 35576 KB Output is correct
7 Correct 25 ms 35576 KB Output is correct
8 Correct 25 ms 35576 KB Output is correct
9 Correct 26 ms 35576 KB Output is correct
10 Correct 25 ms 35576 KB Output is correct
11 Correct 26 ms 35576 KB Output is correct
12 Correct 25 ms 35576 KB Output is correct
13 Correct 25 ms 35576 KB Output is correct
14 Correct 25 ms 35576 KB Output is correct
15 Correct 26 ms 35576 KB Output is correct
16 Correct 26 ms 35576 KB Output is correct
17 Correct 26 ms 35576 KB Output is correct
18 Correct 26 ms 35576 KB Output is correct
19 Correct 26 ms 35576 KB Output is correct
20 Correct 26 ms 35576 KB Output is correct
21 Correct 27 ms 35576 KB Output is correct
22 Correct 25 ms 35576 KB Output is correct
23 Correct 26 ms 35576 KB Output is correct
24 Correct 27 ms 35576 KB Output is correct
25 Correct 25 ms 35576 KB Output is correct
26 Correct 116 ms 50900 KB Output is correct
27 Correct 145 ms 50552 KB Output is correct
28 Correct 27 ms 36088 KB Output is correct
29 Correct 25 ms 35576 KB Output is correct
30 Correct 26 ms 35576 KB Output is correct
31 Correct 139 ms 50424 KB Output is correct
32 Correct 27 ms 36088 KB Output is correct
33 Correct 176 ms 54744 KB Output is correct
34 Correct 146 ms 50616 KB Output is correct
35 Correct 28 ms 36088 KB Output is correct
36 Correct 157 ms 50808 KB Output is correct
37 Correct 27 ms 36088 KB Output is correct
38 Correct 27 ms 36088 KB Output is correct
39 Correct 112 ms 50800 KB Output is correct
40 Correct 27 ms 36216 KB Output is correct
41 Correct 139 ms 50540 KB Output is correct
42 Correct 171 ms 52136 KB Output is correct
43 Correct 26 ms 35576 KB Output is correct
44 Correct 166 ms 54896 KB Output is correct
45 Correct 184 ms 52728 KB Output is correct
46 Correct 28 ms 36088 KB Output is correct
47 Correct 28 ms 36088 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 49396 KB Output is correct
2 Correct 124 ms 55532 KB Output is correct
3 Correct 34 ms 36376 KB Output is correct
4 Correct 27 ms 36088 KB Output is correct
5 Correct 25 ms 35576 KB Output is correct
6 Correct 26 ms 35580 KB Output is correct
7 Correct 27 ms 36088 KB Output is correct
8 Correct 163 ms 52344 KB Output is correct
9 Correct 27 ms 36088 KB Output is correct
10 Correct 137 ms 50680 KB Output is correct
11 Correct 25 ms 35576 KB Output is correct
12 Correct 158 ms 50680 KB Output is correct
13 Correct 164 ms 52472 KB Output is correct
14 Correct 145 ms 56696 KB Output is correct
15 Correct 114 ms 50800 KB Output is correct
16 Correct 29 ms 36092 KB Output is correct
17 Correct 26 ms 35580 KB Output is correct
18 Correct 128 ms 56300 KB Output is correct
19 Correct 168 ms 59012 KB Output is correct
20 Correct 27 ms 36092 KB Output is correct
21 Correct 25 ms 35576 KB Output is correct
22 Correct 127 ms 52720 KB Output is correct
23 Correct 27 ms 36088 KB Output is correct
24 Correct 169 ms 51320 KB Output is correct
25 Correct 169 ms 58104 KB Output is correct
26 Correct 28 ms 36216 KB Output is correct
27 Correct 27 ms 36216 KB Output is correct
28 Correct 28 ms 36088 KB Output is correct
29 Correct 27 ms 36088 KB Output is correct
30 Correct 27 ms 36088 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 35576 KB Output is correct
2 Correct 25 ms 35576 KB Output is correct
3 Correct 26 ms 35580 KB Output is correct
4 Correct 25 ms 35576 KB Output is correct
5 Correct 26 ms 35704 KB Output is correct
6 Correct 25 ms 35576 KB Output is correct
7 Correct 25 ms 35576 KB Output is correct
8 Correct 25 ms 35576 KB Output is correct
9 Correct 26 ms 35576 KB Output is correct
10 Correct 25 ms 35576 KB Output is correct
11 Correct 26 ms 35576 KB Output is correct
12 Correct 25 ms 35576 KB Output is correct
13 Correct 25 ms 35576 KB Output is correct
14 Correct 25 ms 35576 KB Output is correct
15 Correct 26 ms 35576 KB Output is correct
16 Correct 26 ms 35576 KB Output is correct
17 Correct 26 ms 35576 KB Output is correct
18 Correct 26 ms 35576 KB Output is correct
19 Correct 26 ms 35576 KB Output is correct
20 Correct 26 ms 35576 KB Output is correct
21 Correct 27 ms 35576 KB Output is correct
22 Correct 25 ms 35576 KB Output is correct
23 Correct 26 ms 35576 KB Output is correct
24 Correct 27 ms 35576 KB Output is correct
25 Correct 26 ms 35576 KB Output is correct
26 Correct 28 ms 36216 KB Output is correct
27 Correct 28 ms 36088 KB Output is correct
28 Correct 28 ms 36216 KB Output is correct
29 Correct 29 ms 36216 KB Output is correct
30 Correct 27 ms 36088 KB Output is correct
31 Correct 25 ms 35576 KB Output is correct
32 Correct 27 ms 36216 KB Output is correct
33 Correct 26 ms 35576 KB Output is correct
34 Correct 27 ms 36088 KB Output is correct
35 Correct 29 ms 36216 KB Output is correct
36 Correct 28 ms 36088 KB Output is correct
37 Correct 28 ms 36088 KB Output is correct
38 Correct 27 ms 35576 KB Output is correct
39 Correct 28 ms 36088 KB Output is correct
40 Correct 34 ms 36088 KB Output is correct
41 Correct 27 ms 36088 KB Output is correct
42 Correct 27 ms 36088 KB Output is correct
43 Correct 29 ms 36164 KB Output is correct
44 Correct 25 ms 35708 KB Output is correct
45 Correct 28 ms 36088 KB Output is correct
46 Correct 27 ms 36088 KB Output is correct
47 Correct 27 ms 35576 KB Output is correct
48 Correct 28 ms 36088 KB Output is correct
49 Correct 27 ms 36216 KB Output is correct
50 Correct 29 ms 36216 KB Output is correct
51 Correct 28 ms 36088 KB Output is correct
52 Correct 27 ms 36088 KB Output is correct
53 Correct 27 ms 36088 KB Output is correct
54 Correct 28 ms 36088 KB Output is correct
55 Correct 25 ms 35576 KB Output is correct
56 Correct 116 ms 50900 KB Output is correct
57 Correct 145 ms 50552 KB Output is correct
58 Correct 27 ms 36088 KB Output is correct
59 Correct 25 ms 35576 KB Output is correct
60 Correct 26 ms 35576 KB Output is correct
61 Correct 139 ms 50424 KB Output is correct
62 Correct 27 ms 36088 KB Output is correct
63 Correct 176 ms 54744 KB Output is correct
64 Correct 146 ms 50616 KB Output is correct
65 Correct 28 ms 36088 KB Output is correct
66 Correct 157 ms 50808 KB Output is correct
67 Correct 27 ms 36088 KB Output is correct
68 Correct 27 ms 36088 KB Output is correct
69 Correct 112 ms 50800 KB Output is correct
70 Correct 27 ms 36216 KB Output is correct
71 Correct 139 ms 50540 KB Output is correct
72 Correct 171 ms 52136 KB Output is correct
73 Correct 26 ms 35576 KB Output is correct
74 Correct 166 ms 54896 KB Output is correct
75 Correct 184 ms 52728 KB Output is correct
76 Correct 28 ms 36088 KB Output is correct
77 Correct 28 ms 36088 KB Output is correct
78 Correct 112 ms 49396 KB Output is correct
79 Correct 124 ms 55532 KB Output is correct
80 Correct 34 ms 36376 KB Output is correct
81 Correct 27 ms 36088 KB Output is correct
82 Correct 25 ms 35576 KB Output is correct
83 Correct 26 ms 35580 KB Output is correct
84 Correct 27 ms 36088 KB Output is correct
85 Correct 163 ms 52344 KB Output is correct
86 Correct 27 ms 36088 KB Output is correct
87 Correct 137 ms 50680 KB Output is correct
88 Correct 25 ms 35576 KB Output is correct
89 Correct 158 ms 50680 KB Output is correct
90 Correct 164 ms 52472 KB Output is correct
91 Correct 145 ms 56696 KB Output is correct
92 Correct 114 ms 50800 KB Output is correct
93 Correct 29 ms 36092 KB Output is correct
94 Correct 26 ms 35580 KB Output is correct
95 Correct 128 ms 56300 KB Output is correct
96 Correct 168 ms 59012 KB Output is correct
97 Correct 27 ms 36092 KB Output is correct
98 Correct 25 ms 35576 KB Output is correct
99 Correct 127 ms 52720 KB Output is correct
100 Correct 27 ms 36088 KB Output is correct
101 Correct 169 ms 51320 KB Output is correct
102 Correct 169 ms 58104 KB Output is correct
103 Correct 28 ms 36216 KB Output is correct
104 Correct 27 ms 36216 KB Output is correct
105 Correct 28 ms 36088 KB Output is correct
106 Correct 27 ms 36088 KB Output is correct
107 Correct 27 ms 36088 KB Output is correct
108 Correct 836 ms 120092 KB Output is correct
109 Correct 1084 ms 121008 KB Output is correct
110 Correct 1104 ms 127716 KB Output is correct
111 Correct 1132 ms 154296 KB Output is correct
112 Correct 1123 ms 143388 KB Output is correct
113 Correct 746 ms 140432 KB Output is correct
114 Correct 829 ms 110480 KB Output is correct
115 Correct 829 ms 110404 KB Output is correct
116 Correct 1098 ms 115064 KB Output is correct
117 Correct 951 ms 142420 KB Output is correct
118 Correct 889 ms 110968 KB Output is correct
119 Correct 964 ms 142588 KB Output is correct
120 Correct 1110 ms 150144 KB Output is correct
121 Correct 955 ms 142460 KB Output is correct
122 Correct 1106 ms 122976 KB Output is correct
123 Correct 737 ms 145372 KB Output is correct
124 Correct 1078 ms 134328 KB Output is correct