Submission #718606

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
718606	2023-04-04T12:07:56 Z	izanbf	Knapsack (NOI18_knapsack)	C++14	100 / 100	356 ms	3420 KB

knapsack

#include <bits/stdc++.h>
using namespace std;

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);

	int S, N;
	cin >> S >> N;

	vector<int> dp(S+1, 0);

	map<int,vector<pair<int,int>>> m; 

	for (int i = 0; i < N; ++i) {
		int v, w, k;
		cin >> v >> w >> k;
		m[w].push_back({v, k});
	}

	for (auto& it : m) {
		sort(it.second.begin(), it.second.end());
		reverse(it.second.begin(), it.second.end());
	}

	for (auto& it : m) {
		int w = it.first;
		for (int s = S; s >= 0; --s) {
			int prev_k = 0;
			int prev_v = 0;
			for (auto& p : it.second) {
				int v = p.first;
				int k = p.second;
				for (int j = 1; j <= k and (prev_k+j)*w <= s; ++j) {
					dp[s] = max(dp[s], dp[s-(prev_k+j)*w] + prev_v + j*v);
				}
				if (k > S) break;
				prev_k += k;
				prev_v += k*v;
			}
		}
	}

	cout << dp[S] << endl;
}

Subtask #1
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct

Subtask #2
17.0 / 17.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	212 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	2 ms	340 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	2 ms	212 KB	Output is correct
9	Correct	2 ms	212 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct

Subtask #3
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	212 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	2 ms	340 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	2 ms	212 KB	Output is correct
9	Correct	2 ms	212 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	3 ms	212 KB	Output is correct
13	Correct	1 ms	212 KB	Output is correct
14	Correct	1 ms	328 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	212 KB	Output is correct
17	Correct	2 ms	212 KB	Output is correct
18	Correct	1 ms	212 KB	Output is correct
19	Correct	2 ms	224 KB	Output is correct
20	Correct	2 ms	212 KB	Output is correct

Subtask #4
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	2 ms	340 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	2 ms	212 KB	Output is correct
13	Correct	2 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	3 ms	212 KB	Output is correct
17	Correct	1 ms	212 KB	Output is correct
18	Correct	1 ms	328 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct
20	Correct	1 ms	212 KB	Output is correct
21	Correct	2 ms	212 KB	Output is correct
22	Correct	1 ms	212 KB	Output is correct
23	Correct	2 ms	224 KB	Output is correct
24	Correct	2 ms	212 KB	Output is correct
25	Correct	0 ms	212 KB	Output is correct
26	Correct	4 ms	212 KB	Output is correct
27	Correct	1 ms	212 KB	Output is correct
28	Correct	1 ms	212 KB	Output is correct
29	Correct	1 ms	212 KB	Output is correct
30	Correct	2 ms	340 KB	Output is correct
31	Correct	2 ms	212 KB	Output is correct
32	Correct	2 ms	340 KB	Output is correct
33	Correct	1 ms	212 KB	Output is correct
34	Correct	1 ms	212 KB	Output is correct

Subtask #5
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	0 ms	212 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	2 ms	340 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	2 ms	212 KB	Output is correct
13	Correct	2 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	3 ms	212 KB	Output is correct
17	Correct	1 ms	212 KB	Output is correct
18	Correct	1 ms	328 KB	Output is correct
19	Correct	1 ms	212 KB	Output is correct
20	Correct	1 ms	212 KB	Output is correct
21	Correct	2 ms	212 KB	Output is correct
22	Correct	1 ms	212 KB	Output is correct
23	Correct	2 ms	224 KB	Output is correct
24	Correct	2 ms	212 KB	Output is correct
25	Correct	0 ms	212 KB	Output is correct
26	Correct	4 ms	212 KB	Output is correct
27	Correct	1 ms	212 KB	Output is correct
28	Correct	1 ms	212 KB	Output is correct
29	Correct	1 ms	212 KB	Output is correct
30	Correct	2 ms	340 KB	Output is correct
31	Correct	2 ms	212 KB	Output is correct
32	Correct	2 ms	340 KB	Output is correct
33	Correct	1 ms	212 KB	Output is correct
34	Correct	1 ms	212 KB	Output is correct
35	Correct	28 ms	1472 KB	Output is correct
36	Correct	297 ms	2400 KB	Output is correct
37	Correct	300 ms	2116 KB	Output is correct
38	Correct	275 ms	2532 KB	Output is correct
39	Correct	50 ms	2876 KB	Output is correct
40	Correct	75 ms	3420 KB	Output is correct
41	Correct	322 ms	2868 KB	Output is correct
42	Correct	356 ms	2912 KB	Output is correct
43	Correct	327 ms	2776 KB	Output is correct
44	Correct	342 ms	2864 KB	Output is correct
45	Correct	52 ms	3212 KB	Output is correct
46	Correct	38 ms	2872 KB	Output is correct
47	Correct	46 ms	3260 KB	Output is correct
48	Correct	55 ms	3180 KB	Output is correct
49	Correct	35 ms	3084 KB	Output is correct
50	Correct	51 ms	3064 KB	Output is correct

Submission #718606

Compilation message

Subtask #1 12.0 / 12.0

Subtask #2 17.0 / 17.0

Subtask #3 20.0 / 20.0

Subtask #4 24.0 / 24.0

Subtask #5 27.0 / 27.0

Subtask #1
12.0 / 12.0

Subtask #2
17.0 / 17.0

Subtask #3
20.0 / 20.0

Subtask #4
24.0 / 24.0

Subtask #5
27.0 / 27.0