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Submission #1097385

# Submission time Handle Problem Language Result Execution time Memory
1097385 2024-10-07T07:07:58 Z Alihan_8 Mergers (JOI19_mergers) C++17
100 / 100
 567 ms 77400 KB 
#include <bits/stdc++.h>

using namespace std;

#define pb push_back
#define ar array

signed main(){
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int n, k; cin >> n >> k;
	
	vector <vector<int>> adj(n);
	
	for ( int i = 0; i + 1 < n; i++ ){
		int u, v; cin >> u >> v;
		
		--u, --v;
		
		adj[u].pb(v);
		adj[v].pb(u);
	}
	
	vector <int> s(n);
	
	for ( auto &x: s ){
		cin >> x; --x;
	}

	vector <int> tin(n), tout(n);
	vector <ar<int,2>> f(k, {n, -1});
	
	int ct = 0;
	
	auto trav = [&](auto trav, int u, int p) -> void{
		tin[u] = ++ct;
		
		if ( f[s[u]][0] == n ) f[s[u]][0] = ct;
		
		for ( auto &v: adj[u] ){
			if ( v != p ) trav(trav, v, u);
		} tout[u] = ct;
		
		f[s[u]][1] = ct;
	};
	
	trav(trav, 0, -1);
	
	vector <ar<int,2>> q(n);
	
	vector <int> bad(n);
	
	auto dfs = [&](auto dfs, int u, int p) -> void{
		q[u] = f[s[u]];
		
		for ( auto &v: adj[u] ){
			if ( v != p ){
				dfs(dfs, v, u);
				
				q[u][0] = min(q[u][0], q[v][0]);
				q[u][1] = max(q[u][1], q[v][1]);
			}
		}
		
		if ( tin[u] <= q[u][0] && tout[u] >= q[u][1] ){
			bad[u] = 1;
		}
	};
	
	dfs(dfs, 0, -1);
	
	vector <int> sub(n);
	
	bad[0] = 0;
	
	auto cals = [&](auto cals, int u, int p) -> void{
		sub[u] = bad[u];
		
		for ( auto &v: adj[u] ){
			if ( v != p ){
				cals(cals, v, u);
				
				sub[u] += sub[v];
			}
		}
	};
	
	cals(cals, 0, -1);
	
	int num = 0;
	
	for ( int u = 1; u < n; u++ ){
		if ( !bad[u] ) continue;
		
		if ( sub[u] == sub[0] || sub[u] == 1 ){
			num += 1;
		}
	}
	
	cout << (num + 1) / 2;
	
	cout << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 452 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 452 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 2 ms 604 KB Output is correct
28 Correct 1 ms 860 KB Output is correct
29 Correct 2 ms 656 KB Output is correct
30 Correct 2 ms 604 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 860 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 604 KB Output is correct
35 Correct 2 ms 604 KB Output is correct
36 Correct 1 ms 604 KB Output is correct
37 Correct 2 ms 604 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 604 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 860 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 616 KB Output is correct
46 Correct 2 ms 604 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 2 ms 668 KB Output is correct
49 Correct 2 ms 600 KB Output is correct
50 Correct 1 ms 604 KB Output is correct
51 Correct 2 ms 728 KB Output is correct
52 Correct 1 ms 604 KB Output is correct
53 Correct 1 ms 604 KB Output is correct
54 Correct 2 ms 676 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 452 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 28 ms 10408 KB Output is correct
27 Correct 38 ms 10076 KB Output is correct
28 Correct 2 ms 728 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 45 ms 10076 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 55 ms 16836 KB Output is correct
34 Correct 47 ms 10064 KB Output is correct
35 Correct 2 ms 600 KB Output is correct
36 Correct 46 ms 10836 KB Output is correct
37 Correct 1 ms 600 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 27 ms 10264 KB Output is correct
40 Correct 2 ms 856 KB Output is correct
41 Correct 38 ms 10068 KB Output is correct
42 Correct 47 ms 12112 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 47 ms 16916 KB Output is correct
45 Correct 41 ms 13672 KB Output is correct
46 Correct 1 ms 608 KB Output is correct
47 Correct 1 ms 604 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 10452 KB Output is correct
2 Correct 32 ms 11484 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 452 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 40 ms 10836 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 36 ms 10264 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 41 ms 10084 KB Output is correct
13 Correct 41 ms 10836 KB Output is correct
14 Correct 39 ms 11092 KB Output is correct
15 Correct 33 ms 10324 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 28 ms 11412 KB Output is correct
19 Correct 45 ms 14932 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 27 ms 10964 KB Output is correct
23 Correct 1 ms 600 KB Output is correct
24 Correct 40 ms 10268 KB Output is correct
25 Correct 47 ms 13652 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 1 ms 760 KB Output is correct
28 Correct 1 ms 600 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 600 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 452 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 604 KB Output is correct
27 Correct 2 ms 604 KB Output is correct
28 Correct 1 ms 860 KB Output is correct
29 Correct 2 ms 656 KB Output is correct
30 Correct 2 ms 604 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 860 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 604 KB Output is correct
35 Correct 2 ms 604 KB Output is correct
36 Correct 1 ms 604 KB Output is correct
37 Correct 2 ms 604 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 604 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 860 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 616 KB Output is correct
46 Correct 2 ms 604 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 2 ms 668 KB Output is correct
49 Correct 2 ms 600 KB Output is correct
50 Correct 1 ms 604 KB Output is correct
51 Correct 2 ms 728 KB Output is correct
52 Correct 1 ms 604 KB Output is correct
53 Correct 1 ms 604 KB Output is correct
54 Correct 2 ms 676 KB Output is correct
55 Correct 1 ms 344 KB Output is correct
56 Correct 28 ms 10408 KB Output is correct
57 Correct 38 ms 10076 KB Output is correct
58 Correct 2 ms 728 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 45 ms 10076 KB Output is correct
62 Correct 1 ms 604 KB Output is correct
63 Correct 55 ms 16836 KB Output is correct
64 Correct 47 ms 10064 KB Output is correct
65 Correct 2 ms 600 KB Output is correct
66 Correct 46 ms 10836 KB Output is correct
67 Correct 1 ms 600 KB Output is correct
68 Correct 1 ms 604 KB Output is correct
69 Correct 27 ms 10264 KB Output is correct
70 Correct 2 ms 856 KB Output is correct
71 Correct 38 ms 10068 KB Output is correct
72 Correct 47 ms 12112 KB Output is correct
73 Correct 0 ms 348 KB Output is correct
74 Correct 47 ms 16916 KB Output is correct
75 Correct 41 ms 13672 KB Output is correct
76 Correct 1 ms 608 KB Output is correct
77 Correct 1 ms 604 KB Output is correct
78 Correct 29 ms 10452 KB Output is correct
79 Correct 32 ms 11484 KB Output is correct
80 Correct 1 ms 600 KB Output is correct
81 Correct 1 ms 604 KB Output is correct
82 Correct 0 ms 452 KB Output is correct
83 Correct 0 ms 348 KB Output is correct
84 Correct 1 ms 604 KB Output is correct
85 Correct 40 ms 10836 KB Output is correct
86 Correct 2 ms 604 KB Output is correct
87 Correct 36 ms 10264 KB Output is correct
88 Correct 1 ms 348 KB Output is correct
89 Correct 41 ms 10084 KB Output is correct
90 Correct 41 ms 10836 KB Output is correct
91 Correct 39 ms 11092 KB Output is correct
92 Correct 33 ms 10324 KB Output is correct
93 Correct 1 ms 600 KB Output is correct
94 Correct 0 ms 348 KB Output is correct
95 Correct 28 ms 11412 KB Output is correct
96 Correct 45 ms 14932 KB Output is correct
97 Correct 1 ms 600 KB Output is correct
98 Correct 0 ms 348 KB Output is correct
99 Correct 27 ms 10964 KB Output is correct
100 Correct 1 ms 600 KB Output is correct
101 Correct 40 ms 10268 KB Output is correct
102 Correct 47 ms 13652 KB Output is correct
103 Correct 1 ms 604 KB Output is correct
104 Correct 1 ms 760 KB Output is correct
105 Correct 1 ms 600 KB Output is correct
106 Correct 1 ms 604 KB Output is correct
107 Correct 1 ms 600 KB Output is correct
108 Correct 198 ms 54980 KB Output is correct
109 Correct 494 ms 66384 KB Output is correct
110 Correct 500 ms 76772 KB Output is correct
111 Correct 567 ms 77400 KB Output is correct
112 Correct 477 ms 68328 KB Output is correct
113 Correct 218 ms 56888 KB Output is correct
114 Correct 360 ms 49568 KB Output is correct
115 Correct 374 ms 49492 KB Output is correct
116 Correct 385 ms 52296 KB Output is correct
117 Correct 356 ms 56152 KB Output is correct
118 Correct 295 ms 49616 KB Output is correct
119 Correct 355 ms 56036 KB Output is correct
120 Correct 400 ms 68784 KB Output is correct
121 Correct 363 ms 55888 KB Output is correct
122 Correct 368 ms 54172 KB Output is correct
123 Correct 229 ms 57544 KB Output is correct
124 Correct 484 ms 54584 KB Output is correct