Submission #938583

# Submission time Handle Problem Language Result Execution time Memory
938583 2024-03-05T10:32:01 Z WonderfulWhale Mergers (JOI19_mergers) C++17
100 / 100
1319 ms 174636 KB
#include<bits/stdc++.h>
using namespace std;

#define int int64_t
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

const int MAXN =  500'009;

map<int, int> M[MAXN];
int goal[MAXN];
int type[MAXN];
vector<int> G[MAXN];
vector<int> G2[MAXN];
int res[MAXN];
int ans;
bool vis[MAXN];
int dp[MAXN];
int start;

void dfs(int x, int p=0) {
	M[x][type[x]] = 1;
	if(goal[type[x]]>1) res[x] = 1;
	for(int y:G[x]) {
		if(y==p) continue;
		dfs(y, x);
		//cerr << "mergin: "<< x << " " << y << "\n";
		if(sz(M[y])>sz(M[x])) {
			//cerr << "swap\n";
			swap(M[y], M[x]);
			swap(res[y], res[x]);
		}
		for(pii z:M[y]) {
			//cerr << "adding: " << z.st << " " << z.nd << "\n";
			//cerr << "res before: "<< res[x] << "\n";
			if(M[x][z.st]==0) res[x]++;
			M[x][z.st] += z.nd;
			if(M[x][z.st]==goal[z.st]) res[x]--;
			//cerr << "res after: " << res[x] << "\n";
		}
		M[y].clear();
	}
	//cerr << "-> " << x << " " << res[x] << "\n";
	if(res[x]==0) vis[x]=true;
	//cerr << x << " " << vis[x] << "\n";
}

void dfs2(int x, int h, int p=0) {
	for(int y:G[x]) {
		if(y==p) continue;
		if(vis[y]) {
			G2[y].pb(h);
			G2[h].pb(y);
			dfs2(y, y, x);
		} else {
			dfs2(y, h, x);
		}
	}
}

int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

	int n, k;
	cin >> n >> k;
	for(int i=0;i<n-1;i++) {
		int a, b;
		cin >> a >> b;
		G[a].pb(b);
		G[b].pb(a);
	}
	for(int i=1;i<=n;i++) {
		cin >> type[i];
		goal[type[i]]++;
	}
	if(n==2) {
		start = 1;
	} else {
		for(int i=1;i<=n;i++) {
			if(sz(G[i])>1) {
				start = i;
			}
		}
	}
	//cout << "start " << start << "\n";
	dfs(1);
	dfs2(1, 1);
	int cnt = 0;
	for(int i=1;i<=n;i++) {
		if(sz(G2[i])==1) cnt++;
	}
	//cout << dp[start] << "\n";
	cout << (cnt+1)/2 << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 13 ms 57180 KB Output is correct
2 Correct 11 ms 57180 KB Output is correct
3 Correct 12 ms 57180 KB Output is correct
4 Correct 11 ms 57248 KB Output is correct
5 Correct 11 ms 57180 KB Output is correct
6 Correct 12 ms 57180 KB Output is correct
7 Correct 11 ms 55136 KB Output is correct
8 Correct 11 ms 57180 KB Output is correct
9 Correct 11 ms 57236 KB Output is correct
10 Correct 11 ms 57236 KB Output is correct
11 Correct 12 ms 57180 KB Output is correct
12 Correct 11 ms 57152 KB Output is correct
13 Correct 12 ms 57180 KB Output is correct
14 Correct 12 ms 57180 KB Output is correct
15 Correct 12 ms 57176 KB Output is correct
16 Correct 11 ms 55128 KB Output is correct
17 Correct 12 ms 57180 KB Output is correct
18 Correct 12 ms 57180 KB Output is correct
19 Correct 14 ms 55132 KB Output is correct
20 Correct 11 ms 55132 KB Output is correct
21 Correct 12 ms 57140 KB Output is correct
22 Correct 11 ms 57260 KB Output is correct
23 Correct 11 ms 57180 KB Output is correct
24 Correct 12 ms 57180 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 57180 KB Output is correct
2 Correct 11 ms 57180 KB Output is correct
3 Correct 12 ms 57180 KB Output is correct
4 Correct 11 ms 57248 KB Output is correct
5 Correct 11 ms 57180 KB Output is correct
6 Correct 12 ms 57180 KB Output is correct
7 Correct 11 ms 55136 KB Output is correct
8 Correct 11 ms 57180 KB Output is correct
9 Correct 11 ms 57236 KB Output is correct
10 Correct 11 ms 57236 KB Output is correct
11 Correct 12 ms 57180 KB Output is correct
12 Correct 11 ms 57152 KB Output is correct
13 Correct 12 ms 57180 KB Output is correct
14 Correct 12 ms 57180 KB Output is correct
15 Correct 12 ms 57176 KB Output is correct
16 Correct 11 ms 55128 KB Output is correct
17 Correct 12 ms 57180 KB Output is correct
18 Correct 12 ms 57180 KB Output is correct
19 Correct 14 ms 55132 KB Output is correct
20 Correct 11 ms 55132 KB Output is correct
21 Correct 12 ms 57140 KB Output is correct
22 Correct 11 ms 57260 KB Output is correct
23 Correct 11 ms 57180 KB Output is correct
24 Correct 12 ms 57180 KB Output is correct
25 Correct 12 ms 57180 KB Output is correct
26 Correct 14 ms 57556 KB Output is correct
27 Correct 12 ms 57192 KB Output is correct
28 Correct 14 ms 55728 KB Output is correct
29 Correct 15 ms 55644 KB Output is correct
30 Correct 14 ms 57176 KB Output is correct
31 Correct 12 ms 57180 KB Output is correct
32 Correct 14 ms 57972 KB Output is correct
33 Correct 11 ms 55384 KB Output is correct
34 Correct 13 ms 57300 KB Output is correct
35 Correct 14 ms 55388 KB Output is correct
36 Correct 13 ms 57180 KB Output is correct
37 Correct 14 ms 57368 KB Output is correct
38 Correct 12 ms 57160 KB Output is correct
39 Correct 15 ms 57436 KB Output is correct
40 Correct 12 ms 57180 KB Output is correct
41 Correct 14 ms 57180 KB Output is correct
42 Correct 14 ms 57436 KB Output is correct
43 Correct 13 ms 58040 KB Output is correct
44 Correct 14 ms 55132 KB Output is correct
45 Correct 17 ms 57688 KB Output is correct
46 Correct 14 ms 57436 KB Output is correct
47 Correct 11 ms 57180 KB Output is correct
48 Correct 14 ms 57336 KB Output is correct
49 Correct 14 ms 55632 KB Output is correct
50 Correct 14 ms 55644 KB Output is correct
51 Correct 13 ms 57272 KB Output is correct
52 Correct 13 ms 57180 KB Output is correct
53 Correct 13 ms 57452 KB Output is correct
54 Correct 15 ms 57176 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 57180 KB Output is correct
2 Correct 11 ms 57180 KB Output is correct
3 Correct 12 ms 57180 KB Output is correct
4 Correct 11 ms 57248 KB Output is correct
5 Correct 11 ms 57180 KB Output is correct
6 Correct 12 ms 57180 KB Output is correct
7 Correct 11 ms 55136 KB Output is correct
8 Correct 11 ms 57180 KB Output is correct
9 Correct 11 ms 57236 KB Output is correct
10 Correct 11 ms 57236 KB Output is correct
11 Correct 12 ms 57180 KB Output is correct
12 Correct 11 ms 57152 KB Output is correct
13 Correct 12 ms 57180 KB Output is correct
14 Correct 12 ms 57180 KB Output is correct
15 Correct 12 ms 57176 KB Output is correct
16 Correct 11 ms 55128 KB Output is correct
17 Correct 12 ms 57180 KB Output is correct
18 Correct 12 ms 57180 KB Output is correct
19 Correct 14 ms 55132 KB Output is correct
20 Correct 11 ms 55132 KB Output is correct
21 Correct 12 ms 57140 KB Output is correct
22 Correct 11 ms 57260 KB Output is correct
23 Correct 11 ms 57180 KB Output is correct
24 Correct 12 ms 57180 KB Output is correct
25 Correct 11 ms 57176 KB Output is correct
26 Correct 49 ms 60976 KB Output is correct
27 Correct 83 ms 61012 KB Output is correct
28 Correct 13 ms 57180 KB Output is correct
29 Correct 12 ms 57236 KB Output is correct
30 Correct 13 ms 55204 KB Output is correct
31 Correct 57 ms 60756 KB Output is correct
32 Correct 12 ms 57180 KB Output is correct
33 Correct 89 ms 82004 KB Output is correct
34 Correct 69 ms 60988 KB Output is correct
35 Correct 13 ms 57176 KB Output is correct
36 Correct 61 ms 62804 KB Output is correct
37 Correct 13 ms 57180 KB Output is correct
38 Correct 13 ms 57180 KB Output is correct
39 Correct 50 ms 60916 KB Output is correct
40 Correct 14 ms 57944 KB Output is correct
41 Correct 55 ms 60724 KB Output is correct
42 Correct 77 ms 67408 KB Output is correct
43 Correct 11 ms 57180 KB Output is correct
44 Correct 85 ms 83024 KB Output is correct
45 Correct 84 ms 74320 KB Output is correct
46 Correct 12 ms 57180 KB Output is correct
47 Correct 14 ms 57180 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 48 ms 61136 KB Output is correct
2 Correct 113 ms 69052 KB Output is correct
3 Correct 14 ms 57544 KB Output is correct
4 Correct 13 ms 57180 KB Output is correct
5 Correct 12 ms 57176 KB Output is correct
6 Correct 11 ms 55132 KB Output is correct
7 Correct 14 ms 57180 KB Output is correct
8 Correct 135 ms 64360 KB Output is correct
9 Correct 12 ms 57176 KB Output is correct
10 Correct 58 ms 61008 KB Output is correct
11 Correct 12 ms 57176 KB Output is correct
12 Correct 57 ms 60548 KB Output is correct
13 Correct 115 ms 64592 KB Output is correct
14 Correct 201 ms 69948 KB Output is correct
15 Correct 50 ms 60992 KB Output is correct
16 Correct 14 ms 57436 KB Output is correct
17 Correct 11 ms 55132 KB Output is correct
18 Correct 111 ms 68548 KB Output is correct
19 Correct 154 ms 77140 KB Output is correct
20 Correct 14 ms 57692 KB Output is correct
21 Correct 11 ms 57180 KB Output is correct
22 Correct 92 ms 64960 KB Output is correct
23 Correct 14 ms 57180 KB Output is correct
24 Correct 69 ms 61520 KB Output is correct
25 Correct 151 ms 75796 KB Output is correct
26 Correct 13 ms 55388 KB Output is correct
27 Correct 14 ms 55636 KB Output is correct
28 Correct 13 ms 57180 KB Output is correct
29 Correct 12 ms 57176 KB Output is correct
30 Correct 14 ms 57436 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 57180 KB Output is correct
2 Correct 11 ms 57180 KB Output is correct
3 Correct 12 ms 57180 KB Output is correct
4 Correct 11 ms 57248 KB Output is correct
5 Correct 11 ms 57180 KB Output is correct
6 Correct 12 ms 57180 KB Output is correct
7 Correct 11 ms 55136 KB Output is correct
8 Correct 11 ms 57180 KB Output is correct
9 Correct 11 ms 57236 KB Output is correct
10 Correct 11 ms 57236 KB Output is correct
11 Correct 12 ms 57180 KB Output is correct
12 Correct 11 ms 57152 KB Output is correct
13 Correct 12 ms 57180 KB Output is correct
14 Correct 12 ms 57180 KB Output is correct
15 Correct 12 ms 57176 KB Output is correct
16 Correct 11 ms 55128 KB Output is correct
17 Correct 12 ms 57180 KB Output is correct
18 Correct 12 ms 57180 KB Output is correct
19 Correct 14 ms 55132 KB Output is correct
20 Correct 11 ms 55132 KB Output is correct
21 Correct 12 ms 57140 KB Output is correct
22 Correct 11 ms 57260 KB Output is correct
23 Correct 11 ms 57180 KB Output is correct
24 Correct 12 ms 57180 KB Output is correct
25 Correct 12 ms 57180 KB Output is correct
26 Correct 14 ms 57556 KB Output is correct
27 Correct 12 ms 57192 KB Output is correct
28 Correct 14 ms 55728 KB Output is correct
29 Correct 15 ms 55644 KB Output is correct
30 Correct 14 ms 57176 KB Output is correct
31 Correct 12 ms 57180 KB Output is correct
32 Correct 14 ms 57972 KB Output is correct
33 Correct 11 ms 55384 KB Output is correct
34 Correct 13 ms 57300 KB Output is correct
35 Correct 14 ms 55388 KB Output is correct
36 Correct 13 ms 57180 KB Output is correct
37 Correct 14 ms 57368 KB Output is correct
38 Correct 12 ms 57160 KB Output is correct
39 Correct 15 ms 57436 KB Output is correct
40 Correct 12 ms 57180 KB Output is correct
41 Correct 14 ms 57180 KB Output is correct
42 Correct 14 ms 57436 KB Output is correct
43 Correct 13 ms 58040 KB Output is correct
44 Correct 14 ms 55132 KB Output is correct
45 Correct 17 ms 57688 KB Output is correct
46 Correct 14 ms 57436 KB Output is correct
47 Correct 11 ms 57180 KB Output is correct
48 Correct 14 ms 57336 KB Output is correct
49 Correct 14 ms 55632 KB Output is correct
50 Correct 14 ms 55644 KB Output is correct
51 Correct 13 ms 57272 KB Output is correct
52 Correct 13 ms 57180 KB Output is correct
53 Correct 13 ms 57452 KB Output is correct
54 Correct 15 ms 57176 KB Output is correct
55 Correct 11 ms 57176 KB Output is correct
56 Correct 49 ms 60976 KB Output is correct
57 Correct 83 ms 61012 KB Output is correct
58 Correct 13 ms 57180 KB Output is correct
59 Correct 12 ms 57236 KB Output is correct
60 Correct 13 ms 55204 KB Output is correct
61 Correct 57 ms 60756 KB Output is correct
62 Correct 12 ms 57180 KB Output is correct
63 Correct 89 ms 82004 KB Output is correct
64 Correct 69 ms 60988 KB Output is correct
65 Correct 13 ms 57176 KB Output is correct
66 Correct 61 ms 62804 KB Output is correct
67 Correct 13 ms 57180 KB Output is correct
68 Correct 13 ms 57180 KB Output is correct
69 Correct 50 ms 60916 KB Output is correct
70 Correct 14 ms 57944 KB Output is correct
71 Correct 55 ms 60724 KB Output is correct
72 Correct 77 ms 67408 KB Output is correct
73 Correct 11 ms 57180 KB Output is correct
74 Correct 85 ms 83024 KB Output is correct
75 Correct 84 ms 74320 KB Output is correct
76 Correct 12 ms 57180 KB Output is correct
77 Correct 14 ms 57180 KB Output is correct
78 Correct 48 ms 61136 KB Output is correct
79 Correct 113 ms 69052 KB Output is correct
80 Correct 14 ms 57544 KB Output is correct
81 Correct 13 ms 57180 KB Output is correct
82 Correct 12 ms 57176 KB Output is correct
83 Correct 11 ms 55132 KB Output is correct
84 Correct 14 ms 57180 KB Output is correct
85 Correct 135 ms 64360 KB Output is correct
86 Correct 12 ms 57176 KB Output is correct
87 Correct 58 ms 61008 KB Output is correct
88 Correct 12 ms 57176 KB Output is correct
89 Correct 57 ms 60548 KB Output is correct
90 Correct 115 ms 64592 KB Output is correct
91 Correct 201 ms 69948 KB Output is correct
92 Correct 50 ms 60992 KB Output is correct
93 Correct 14 ms 57436 KB Output is correct
94 Correct 11 ms 55132 KB Output is correct
95 Correct 111 ms 68548 KB Output is correct
96 Correct 154 ms 77140 KB Output is correct
97 Correct 14 ms 57692 KB Output is correct
98 Correct 11 ms 57180 KB Output is correct
99 Correct 92 ms 64960 KB Output is correct
100 Correct 14 ms 57180 KB Output is correct
101 Correct 69 ms 61520 KB Output is correct
102 Correct 151 ms 75796 KB Output is correct
103 Correct 13 ms 55388 KB Output is correct
104 Correct 14 ms 55636 KB Output is correct
105 Correct 13 ms 57180 KB Output is correct
106 Correct 12 ms 57176 KB Output is correct
107 Correct 14 ms 57436 KB Output is correct
108 Correct 575 ms 95016 KB Output is correct
109 Correct 617 ms 130316 KB Output is correct
110 Correct 640 ms 164180 KB Output is correct
111 Correct 1159 ms 174636 KB Output is correct
112 Correct 1070 ms 153524 KB Output is correct
113 Correct 763 ms 125192 KB Output is correct
114 Correct 460 ms 78072 KB Output is correct
115 Correct 446 ms 77904 KB Output is correct
116 Correct 772 ms 86184 KB Output is correct
117 Correct 1319 ms 130116 KB Output is correct
118 Correct 402 ms 77720 KB Output is correct
119 Correct 1273 ms 130264 KB Output is correct
120 Correct 1116 ms 163924 KB Output is correct
121 Correct 1246 ms 130048 KB Output is correct
122 Correct 1149 ms 102556 KB Output is correct
123 Correct 774 ms 129720 KB Output is correct
124 Correct 1137 ms 118260 KB Output is correct