Submission #938582

# Submission time Handle Problem Language Result Execution time Memory
938582 2024-03-05T10:30:45 Z WonderfulWhale Mergers (JOI19_mergers) C++17
100 / 100
1348 ms 216592 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;

unordered_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 23 ms 61016 KB Output is correct
2 Correct 15 ms 61020 KB Output is correct
3 Correct 14 ms 61020 KB Output is correct
4 Correct 13 ms 61144 KB Output is correct
5 Correct 13 ms 61016 KB Output is correct
6 Correct 13 ms 61132 KB Output is correct
7 Correct 12 ms 58968 KB Output is correct
8 Correct 14 ms 61016 KB Output is correct
9 Correct 13 ms 61020 KB Output is correct
10 Correct 15 ms 61020 KB Output is correct
11 Correct 13 ms 61020 KB Output is correct
12 Correct 14 ms 61156 KB Output is correct
13 Correct 14 ms 61020 KB Output is correct
14 Correct 13 ms 61160 KB Output is correct
15 Correct 14 ms 61016 KB Output is correct
16 Correct 13 ms 58972 KB Output is correct
17 Correct 14 ms 61020 KB Output is correct
18 Correct 16 ms 61064 KB Output is correct
19 Correct 13 ms 58972 KB Output is correct
20 Correct 13 ms 58972 KB Output is correct
21 Correct 14 ms 61020 KB Output is correct
22 Correct 13 ms 61064 KB Output is correct
23 Correct 13 ms 61016 KB Output is correct
24 Correct 13 ms 61020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 61016 KB Output is correct
2 Correct 15 ms 61020 KB Output is correct
3 Correct 14 ms 61020 KB Output is correct
4 Correct 13 ms 61144 KB Output is correct
5 Correct 13 ms 61016 KB Output is correct
6 Correct 13 ms 61132 KB Output is correct
7 Correct 12 ms 58968 KB Output is correct
8 Correct 14 ms 61016 KB Output is correct
9 Correct 13 ms 61020 KB Output is correct
10 Correct 15 ms 61020 KB Output is correct
11 Correct 13 ms 61020 KB Output is correct
12 Correct 14 ms 61156 KB Output is correct
13 Correct 14 ms 61020 KB Output is correct
14 Correct 13 ms 61160 KB Output is correct
15 Correct 14 ms 61016 KB Output is correct
16 Correct 13 ms 58972 KB Output is correct
17 Correct 14 ms 61020 KB Output is correct
18 Correct 16 ms 61064 KB Output is correct
19 Correct 13 ms 58972 KB Output is correct
20 Correct 13 ms 58972 KB Output is correct
21 Correct 14 ms 61020 KB Output is correct
22 Correct 13 ms 61064 KB Output is correct
23 Correct 13 ms 61016 KB Output is correct
24 Correct 13 ms 61020 KB Output is correct
25 Correct 13 ms 61020 KB Output is correct
26 Correct 16 ms 61532 KB Output is correct
27 Correct 15 ms 61532 KB Output is correct
28 Correct 15 ms 59996 KB Output is correct
29 Correct 16 ms 59860 KB Output is correct
30 Correct 16 ms 61528 KB Output is correct
31 Correct 13 ms 61160 KB Output is correct
32 Correct 16 ms 62000 KB Output is correct
33 Correct 14 ms 59104 KB Output is correct
34 Correct 15 ms 61532 KB Output is correct
35 Correct 16 ms 59736 KB Output is correct
36 Correct 16 ms 61388 KB Output is correct
37 Correct 16 ms 61528 KB Output is correct
38 Correct 14 ms 61016 KB Output is correct
39 Correct 16 ms 61532 KB Output is correct
40 Correct 15 ms 61528 KB Output is correct
41 Correct 15 ms 61600 KB Output is correct
42 Correct 16 ms 61532 KB Output is correct
43 Correct 15 ms 62040 KB Output is correct
44 Correct 15 ms 58972 KB Output is correct
45 Correct 16 ms 61784 KB Output is correct
46 Correct 16 ms 61532 KB Output is correct
47 Correct 15 ms 61116 KB Output is correct
48 Correct 16 ms 61532 KB Output is correct
49 Correct 15 ms 59828 KB Output is correct
50 Correct 16 ms 59736 KB Output is correct
51 Correct 16 ms 61528 KB Output is correct
52 Correct 15 ms 61528 KB Output is correct
53 Correct 15 ms 61532 KB Output is correct
54 Correct 16 ms 61532 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 61016 KB Output is correct
2 Correct 15 ms 61020 KB Output is correct
3 Correct 14 ms 61020 KB Output is correct
4 Correct 13 ms 61144 KB Output is correct
5 Correct 13 ms 61016 KB Output is correct
6 Correct 13 ms 61132 KB Output is correct
7 Correct 12 ms 58968 KB Output is correct
8 Correct 14 ms 61016 KB Output is correct
9 Correct 13 ms 61020 KB Output is correct
10 Correct 15 ms 61020 KB Output is correct
11 Correct 13 ms 61020 KB Output is correct
12 Correct 14 ms 61156 KB Output is correct
13 Correct 14 ms 61020 KB Output is correct
14 Correct 13 ms 61160 KB Output is correct
15 Correct 14 ms 61016 KB Output is correct
16 Correct 13 ms 58972 KB Output is correct
17 Correct 14 ms 61020 KB Output is correct
18 Correct 16 ms 61064 KB Output is correct
19 Correct 13 ms 58972 KB Output is correct
20 Correct 13 ms 58972 KB Output is correct
21 Correct 14 ms 61020 KB Output is correct
22 Correct 13 ms 61064 KB Output is correct
23 Correct 13 ms 61016 KB Output is correct
24 Correct 13 ms 61020 KB Output is correct
25 Correct 13 ms 61016 KB Output is correct
26 Correct 77 ms 75860 KB Output is correct
27 Correct 107 ms 76372 KB Output is correct
28 Correct 16 ms 61532 KB Output is correct
29 Correct 14 ms 61020 KB Output is correct
30 Correct 14 ms 58972 KB Output is correct
31 Correct 89 ms 75664 KB Output is correct
32 Correct 15 ms 61528 KB Output is correct
33 Correct 122 ms 90996 KB Output is correct
34 Correct 112 ms 76028 KB Output is correct
35 Correct 15 ms 61528 KB Output is correct
36 Correct 105 ms 76876 KB Output is correct
37 Correct 15 ms 61588 KB Output is correct
38 Correct 15 ms 61532 KB Output is correct
39 Correct 73 ms 75812 KB Output is correct
40 Correct 15 ms 62040 KB Output is correct
41 Correct 98 ms 75836 KB Output is correct
42 Correct 121 ms 80440 KB Output is correct
43 Correct 13 ms 61016 KB Output is correct
44 Correct 116 ms 91712 KB Output is correct
45 Correct 110 ms 85072 KB Output is correct
46 Correct 15 ms 61532 KB Output is correct
47 Correct 15 ms 61528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 77 ms 75808 KB Output is correct
2 Correct 114 ms 82244 KB Output is correct
3 Correct 16 ms 61532 KB Output is correct
4 Correct 15 ms 61404 KB Output is correct
5 Correct 13 ms 61020 KB Output is correct
6 Correct 15 ms 59116 KB Output is correct
7 Correct 19 ms 61540 KB Output is correct
8 Correct 127 ms 79984 KB Output is correct
9 Correct 15 ms 61604 KB Output is correct
10 Correct 92 ms 75860 KB Output is correct
11 Correct 13 ms 61172 KB Output is correct
12 Correct 92 ms 75400 KB Output is correct
13 Correct 150 ms 80244 KB Output is correct
14 Correct 166 ms 86216 KB Output is correct
15 Correct 85 ms 75844 KB Output is correct
16 Correct 15 ms 61528 KB Output is correct
17 Correct 13 ms 58972 KB Output is correct
18 Correct 108 ms 82468 KB Output is correct
19 Correct 176 ms 89516 KB Output is correct
20 Correct 18 ms 61528 KB Output is correct
21 Correct 14 ms 61020 KB Output is correct
22 Correct 109 ms 78892 KB Output is correct
23 Correct 15 ms 61528 KB Output is correct
24 Correct 119 ms 76372 KB Output is correct
25 Correct 186 ms 88264 KB Output is correct
26 Correct 14 ms 59736 KB Output is correct
27 Correct 17 ms 59960 KB Output is correct
28 Correct 16 ms 61532 KB Output is correct
29 Correct 15 ms 61376 KB Output is correct
30 Correct 16 ms 61532 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 61016 KB Output is correct
2 Correct 15 ms 61020 KB Output is correct
3 Correct 14 ms 61020 KB Output is correct
4 Correct 13 ms 61144 KB Output is correct
5 Correct 13 ms 61016 KB Output is correct
6 Correct 13 ms 61132 KB Output is correct
7 Correct 12 ms 58968 KB Output is correct
8 Correct 14 ms 61016 KB Output is correct
9 Correct 13 ms 61020 KB Output is correct
10 Correct 15 ms 61020 KB Output is correct
11 Correct 13 ms 61020 KB Output is correct
12 Correct 14 ms 61156 KB Output is correct
13 Correct 14 ms 61020 KB Output is correct
14 Correct 13 ms 61160 KB Output is correct
15 Correct 14 ms 61016 KB Output is correct
16 Correct 13 ms 58972 KB Output is correct
17 Correct 14 ms 61020 KB Output is correct
18 Correct 16 ms 61064 KB Output is correct
19 Correct 13 ms 58972 KB Output is correct
20 Correct 13 ms 58972 KB Output is correct
21 Correct 14 ms 61020 KB Output is correct
22 Correct 13 ms 61064 KB Output is correct
23 Correct 13 ms 61016 KB Output is correct
24 Correct 13 ms 61020 KB Output is correct
25 Correct 13 ms 61020 KB Output is correct
26 Correct 16 ms 61532 KB Output is correct
27 Correct 15 ms 61532 KB Output is correct
28 Correct 15 ms 59996 KB Output is correct
29 Correct 16 ms 59860 KB Output is correct
30 Correct 16 ms 61528 KB Output is correct
31 Correct 13 ms 61160 KB Output is correct
32 Correct 16 ms 62000 KB Output is correct
33 Correct 14 ms 59104 KB Output is correct
34 Correct 15 ms 61532 KB Output is correct
35 Correct 16 ms 59736 KB Output is correct
36 Correct 16 ms 61388 KB Output is correct
37 Correct 16 ms 61528 KB Output is correct
38 Correct 14 ms 61016 KB Output is correct
39 Correct 16 ms 61532 KB Output is correct
40 Correct 15 ms 61528 KB Output is correct
41 Correct 15 ms 61600 KB Output is correct
42 Correct 16 ms 61532 KB Output is correct
43 Correct 15 ms 62040 KB Output is correct
44 Correct 15 ms 58972 KB Output is correct
45 Correct 16 ms 61784 KB Output is correct
46 Correct 16 ms 61532 KB Output is correct
47 Correct 15 ms 61116 KB Output is correct
48 Correct 16 ms 61532 KB Output is correct
49 Correct 15 ms 59828 KB Output is correct
50 Correct 16 ms 59736 KB Output is correct
51 Correct 16 ms 61528 KB Output is correct
52 Correct 15 ms 61528 KB Output is correct
53 Correct 15 ms 61532 KB Output is correct
54 Correct 16 ms 61532 KB Output is correct
55 Correct 13 ms 61016 KB Output is correct
56 Correct 77 ms 75860 KB Output is correct
57 Correct 107 ms 76372 KB Output is correct
58 Correct 16 ms 61532 KB Output is correct
59 Correct 14 ms 61020 KB Output is correct
60 Correct 14 ms 58972 KB Output is correct
61 Correct 89 ms 75664 KB Output is correct
62 Correct 15 ms 61528 KB Output is correct
63 Correct 122 ms 90996 KB Output is correct
64 Correct 112 ms 76028 KB Output is correct
65 Correct 15 ms 61528 KB Output is correct
66 Correct 105 ms 76876 KB Output is correct
67 Correct 15 ms 61588 KB Output is correct
68 Correct 15 ms 61532 KB Output is correct
69 Correct 73 ms 75812 KB Output is correct
70 Correct 15 ms 62040 KB Output is correct
71 Correct 98 ms 75836 KB Output is correct
72 Correct 121 ms 80440 KB Output is correct
73 Correct 13 ms 61016 KB Output is correct
74 Correct 116 ms 91712 KB Output is correct
75 Correct 110 ms 85072 KB Output is correct
76 Correct 15 ms 61532 KB Output is correct
77 Correct 15 ms 61528 KB Output is correct
78 Correct 77 ms 75808 KB Output is correct
79 Correct 114 ms 82244 KB Output is correct
80 Correct 16 ms 61532 KB Output is correct
81 Correct 15 ms 61404 KB Output is correct
82 Correct 13 ms 61020 KB Output is correct
83 Correct 15 ms 59116 KB Output is correct
84 Correct 19 ms 61540 KB Output is correct
85 Correct 127 ms 79984 KB Output is correct
86 Correct 15 ms 61604 KB Output is correct
87 Correct 92 ms 75860 KB Output is correct
88 Correct 13 ms 61172 KB Output is correct
89 Correct 92 ms 75400 KB Output is correct
90 Correct 150 ms 80244 KB Output is correct
91 Correct 166 ms 86216 KB Output is correct
92 Correct 85 ms 75844 KB Output is correct
93 Correct 15 ms 61528 KB Output is correct
94 Correct 13 ms 58972 KB Output is correct
95 Correct 108 ms 82468 KB Output is correct
96 Correct 176 ms 89516 KB Output is correct
97 Correct 18 ms 61528 KB Output is correct
98 Correct 14 ms 61020 KB Output is correct
99 Correct 109 ms 78892 KB Output is correct
100 Correct 15 ms 61528 KB Output is correct
101 Correct 119 ms 76372 KB Output is correct
102 Correct 186 ms 88264 KB Output is correct
103 Correct 14 ms 59736 KB Output is correct
104 Correct 17 ms 59960 KB Output is correct
105 Correct 16 ms 61532 KB Output is correct
106 Correct 15 ms 61376 KB Output is correct
107 Correct 16 ms 61532 KB Output is correct
108 Correct 604 ms 150200 KB Output is correct
109 Correct 819 ms 174416 KB Output is correct
110 Correct 817 ms 199120 KB Output is correct
111 Correct 1226 ms 216592 KB Output is correct
112 Correct 1178 ms 197612 KB Output is correct
113 Correct 829 ms 175116 KB Output is correct
114 Correct 643 ms 136820 KB Output is correct
115 Correct 690 ms 136696 KB Output is correct
116 Correct 894 ms 152256 KB Output is correct
117 Correct 1280 ms 201964 KB Output is correct
118 Correct 674 ms 135580 KB Output is correct
119 Correct 1314 ms 200628 KB Output is correct
120 Correct 1348 ms 208344 KB Output is correct
121 Correct 1233 ms 199944 KB Output is correct
122 Correct 1090 ms 175364 KB Output is correct
123 Correct 722 ms 178420 KB Output is correct
124 Correct 1220 ms 181720 KB Output is correct