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Submission #970998

# Submission time Handle Problem Language Result Execution time Memory
970998 2024-04-27T19:02:23 Z starchan Power Plant (JOI20_power) C++17
100 / 100
 120 ms 36936 KB 
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define in array<int, 2>
#define pb push_back
#define pob pop_back
#define fast() ios_base::sync_with_stdio(false); cin.tie(NULL)

const int MX = 2e5+5;
const int INF = 1e17;

vector<int> adj[MX];
bool S[MX];
int dp[2][2][MX];

void dfs(int u, int p)
{
	int V = 0; int W = 0; int UU = 0;
	int rr = 0;
	for(int v: adj[u])
	{
		if(v==p)
			continue;
		rr++;
		dfs(v, u);
		V = max(V, max(dp[0][0][v], dp[0][1][v]));
		UU = max(UU, max(dp[1][0][v], dp[1][1][v]));
		W+=max(dp[1][0][v], dp[1][1][v]);
	}
	if(rr == 0)
	{
		dp[0][0][u] = 0;
		dp[0][1][u] = S[u];
		dp[1][0][u] = 0;
		dp[1][1][u] = S[u];
		return;
	}
	//Case: Nothing selected at u, or its parent.
	//We ignore the root, and compute cost without it. Yet, we enable the foundation.
	dp[0][0][u] = max(0ll, max(V, W-S[u]));
	dp[0][1][u] = max(0ll, max(UU+S[u], W-S[u]));
	dp[1][0][u] = max(0ll, max(UU-S[u], W-S[u]));
	dp[1][1][u] = max(0ll, max(S[u]+0ll, max(UU-S[u], W-S[u])));
	return;
}

signed main()
{
	fast();
	int n;
	cin >> n;
	for(int i = 1; i < n; i++)
	{
		int u, v; cin >> u >> v;
		adj[u].pb(v); adj[v].pb(u);
	}
	for(int i = 1; i <= n; i++)
	{
		char c; cin >> c;
		S[i] = (c=='1');
	}
	dfs(1, 0);
	cout << (max(dp[0][1][1], dp[0][0][1])) << "\n";
	return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11352 KB Output is correct
2 Correct 2 ms 11356 KB Output is correct
3 Correct 2 ms 11352 KB Output is correct
4 Correct 2 ms 11352 KB Output is correct
5 Correct 2 ms 11356 KB Output is correct
6 Correct 2 ms 11356 KB Output is correct
7 Correct 2 ms 11192 KB Output is correct
8 Correct 3 ms 11356 KB Output is correct
9 Correct 3 ms 11356 KB Output is correct
10 Correct 2 ms 11356 KB Output is correct
11 Correct 2 ms 11356 KB Output is correct
12 Correct 2 ms 11356 KB Output is correct
13 Correct 2 ms 11356 KB Output is correct
14 Correct 4 ms 11356 KB Output is correct
15 Correct 2 ms 11356 KB Output is correct
16 Correct 3 ms 11356 KB Output is correct
17 Correct 2 ms 11352 KB Output is correct
18 Correct 2 ms 11356 KB Output is correct
19 Correct 3 ms 11356 KB Output is correct
20 Correct 2 ms 11352 KB Output is correct
21 Correct 2 ms 11356 KB Output is correct

Subtask #2
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11352 KB Output is correct
2 Correct 2 ms 11356 KB Output is correct
3 Correct 2 ms 11352 KB Output is correct
4 Correct 2 ms 11352 KB Output is correct
5 Correct 2 ms 11356 KB Output is correct
6 Correct 2 ms 11356 KB Output is correct
7 Correct 2 ms 11192 KB Output is correct
8 Correct 3 ms 11356 KB Output is correct
9 Correct 3 ms 11356 KB Output is correct
10 Correct 2 ms 11356 KB Output is correct
11 Correct 2 ms 11356 KB Output is correct
12 Correct 2 ms 11356 KB Output is correct
13 Correct 2 ms 11356 KB Output is correct
14 Correct 4 ms 11356 KB Output is correct
15 Correct 2 ms 11356 KB Output is correct
16 Correct 3 ms 11356 KB Output is correct
17 Correct 2 ms 11352 KB Output is correct
18 Correct 2 ms 11356 KB Output is correct
19 Correct 3 ms 11356 KB Output is correct
20 Correct 2 ms 11352 KB Output is correct
21 Correct 2 ms 11356 KB Output is correct
22 Correct 3 ms 11356 KB Output is correct
23 Correct 3 ms 11356 KB Output is correct
24 Correct 3 ms 11360 KB Output is correct
25 Correct 3 ms 11360 KB Output is correct
26 Correct 3 ms 11360 KB Output is correct
27 Correct 3 ms 11448 KB Output is correct
28 Correct 3 ms 11352 KB Output is correct
29 Correct 4 ms 11616 KB Output is correct
30 Correct 2 ms 11612 KB Output is correct
31 Correct 3 ms 11356 KB Output is correct
32 Correct 3 ms 11356 KB Output is correct
33 Correct 3 ms 11356 KB Output is correct
34 Correct 3 ms 11436 KB Output is correct
35 Correct 3 ms 11356 KB Output is correct
36 Correct 3 ms 11356 KB Output is correct
37 Correct 3 ms 11432 KB Output is correct
38 Correct 3 ms 11352 KB Output is correct
39 Correct 3 ms 11356 KB Output is correct
40 Correct 3 ms 11356 KB Output is correct
41 Correct 3 ms 11612 KB Output is correct
42 Correct 3 ms 11356 KB Output is correct
43 Correct 3 ms 11356 KB Output is correct
44 Correct 2 ms 11488 KB Output is correct
45 Correct 3 ms 11356 KB Output is correct
46 Correct 3 ms 11352 KB Output is correct
47 Correct 3 ms 11356 KB Output is correct
48 Correct 3 ms 11612 KB Output is correct
49 Correct 3 ms 11612 KB Output is correct
50 Correct 3 ms 11356 KB Output is correct
51 Correct 3 ms 11356 KB Output is correct
52 Correct 3 ms 11356 KB Output is correct
53 Correct 3 ms 11356 KB Output is correct
54 Correct 3 ms 11356 KB Output is correct
55 Correct 3 ms 11352 KB Output is correct
56 Correct 3 ms 11352 KB Output is correct
57 Correct 3 ms 11612 KB Output is correct
58 Correct 3 ms 11536 KB Output is correct
59 Correct 3 ms 11356 KB Output is correct
60 Correct 3 ms 11612 KB Output is correct
61 Correct 3 ms 11356 KB Output is correct
62 Correct 3 ms 11472 KB Output is correct
63 Correct 3 ms 11440 KB Output is correct

Subtask #3
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11352 KB Output is correct
2 Correct 2 ms 11356 KB Output is correct
3 Correct 2 ms 11352 KB Output is correct
4 Correct 2 ms 11352 KB Output is correct
5 Correct 2 ms 11356 KB Output is correct
6 Correct 2 ms 11356 KB Output is correct
7 Correct 2 ms 11192 KB Output is correct
8 Correct 3 ms 11356 KB Output is correct
9 Correct 3 ms 11356 KB Output is correct
10 Correct 2 ms 11356 KB Output is correct
11 Correct 2 ms 11356 KB Output is correct
12 Correct 2 ms 11356 KB Output is correct
13 Correct 2 ms 11356 KB Output is correct
14 Correct 4 ms 11356 KB Output is correct
15 Correct 2 ms 11356 KB Output is correct
16 Correct 3 ms 11356 KB Output is correct
17 Correct 2 ms 11352 KB Output is correct
18 Correct 2 ms 11356 KB Output is correct
19 Correct 3 ms 11356 KB Output is correct
20 Correct 2 ms 11352 KB Output is correct
21 Correct 2 ms 11356 KB Output is correct
22 Correct 3 ms 11356 KB Output is correct
23 Correct 3 ms 11356 KB Output is correct
24 Correct 3 ms 11360 KB Output is correct
25 Correct 3 ms 11360 KB Output is correct
26 Correct 3 ms 11360 KB Output is correct
27 Correct 3 ms 11448 KB Output is correct
28 Correct 3 ms 11352 KB Output is correct
29 Correct 4 ms 11616 KB Output is correct
30 Correct 2 ms 11612 KB Output is correct
31 Correct 3 ms 11356 KB Output is correct
32 Correct 3 ms 11356 KB Output is correct
33 Correct 3 ms 11356 KB Output is correct
34 Correct 3 ms 11436 KB Output is correct
35 Correct 3 ms 11356 KB Output is correct
36 Correct 3 ms 11356 KB Output is correct
37 Correct 3 ms 11432 KB Output is correct
38 Correct 3 ms 11352 KB Output is correct
39 Correct 3 ms 11356 KB Output is correct
40 Correct 3 ms 11356 KB Output is correct
41 Correct 3 ms 11612 KB Output is correct
42 Correct 3 ms 11356 KB Output is correct
43 Correct 3 ms 11356 KB Output is correct
44 Correct 2 ms 11488 KB Output is correct
45 Correct 3 ms 11356 KB Output is correct
46 Correct 3 ms 11352 KB Output is correct
47 Correct 3 ms 11356 KB Output is correct
48 Correct 3 ms 11612 KB Output is correct
49 Correct 3 ms 11612 KB Output is correct
50 Correct 3 ms 11356 KB Output is correct
51 Correct 3 ms 11356 KB Output is correct
52 Correct 3 ms 11356 KB Output is correct
53 Correct 3 ms 11356 KB Output is correct
54 Correct 3 ms 11356 KB Output is correct
55 Correct 3 ms 11352 KB Output is correct
56 Correct 3 ms 11352 KB Output is correct
57 Correct 3 ms 11612 KB Output is correct
58 Correct 3 ms 11536 KB Output is correct
59 Correct 3 ms 11356 KB Output is correct
60 Correct 3 ms 11612 KB Output is correct
61 Correct 3 ms 11356 KB Output is correct
62 Correct 3 ms 11472 KB Output is correct
63 Correct 3 ms 11440 KB Output is correct
64 Correct 82 ms 21584 KB Output is correct
65 Correct 88 ms 21612 KB Output is correct
66 Correct 92 ms 21676 KB Output is correct
67 Correct 96 ms 21668 KB Output is correct
68 Correct 81 ms 21592 KB Output is correct
69 Correct 84 ms 21588 KB Output is correct
70 Correct 84 ms 21464 KB Output is correct
71 Correct 88 ms 21588 KB Output is correct
72 Correct 81 ms 21920 KB Output is correct
73 Correct 98 ms 35736 KB Output is correct
74 Correct 116 ms 35660 KB Output is correct
75 Correct 102 ms 22772 KB Output is correct
76 Correct 91 ms 22868 KB Output is correct
77 Correct 84 ms 21584 KB Output is correct
78 Correct 120 ms 21400 KB Output is correct
79 Correct 89 ms 21580 KB Output is correct
80 Correct 88 ms 21588 KB Output is correct
81 Correct 67 ms 21456 KB Output is correct
82 Correct 74 ms 21520 KB Output is correct
83 Correct 102 ms 27732 KB Output is correct
84 Correct 111 ms 30156 KB Output is correct
85 Correct 99 ms 29820 KB Output is correct
86 Correct 88 ms 23124 KB Output is correct
87 Correct 88 ms 22460 KB Output is correct
88 Correct 95 ms 22736 KB Output is correct
89 Correct 82 ms 22804 KB Output is correct
90 Correct 84 ms 22444 KB Output is correct
91 Correct 78 ms 22628 KB Output is correct
92 Correct 88 ms 23116 KB Output is correct
93 Correct 81 ms 25544 KB Output is correct
94 Correct 84 ms 27584 KB Output is correct
95 Correct 81 ms 26048 KB Output is correct
96 Correct 87 ms 24148 KB Output is correct
97 Correct 79 ms 22392 KB Output is correct
98 Correct 79 ms 21844 KB Output is correct
99 Correct 87 ms 22000 KB Output is correct
100 Correct 81 ms 25176 KB Output is correct
101 Correct 79 ms 22612 KB Output is correct
102 Correct 106 ms 22088 KB Output is correct
103 Correct 84 ms 21844 KB Output is correct
104 Correct 55 ms 22212 KB Output is correct
105 Correct 92 ms 31828 KB Output is correct
106 Correct 52 ms 21956 KB Output is correct
107 Correct 63 ms 22272 KB Output is correct
108 Correct 98 ms 36688 KB Output is correct
109 Correct 52 ms 22460 KB Output is correct
110 Correct 109 ms 36936 KB Output is correct
111 Correct 72 ms 21584 KB Output is correct