Submission #718464

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
718464	2023-04-04T07:13:16 Z	Sig0001	Knapsack (NOI18_knapsack)	C++17	100 / 100	58 ms	1672 KB

knapsack

#include <bits/stdc++.h>

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

	/**
	 * @brief Input
	 * s: Maximum Weight 1 <= s <= 2000
	 * n: Number of Items 1 <= n <= 100000 (1e5)
	 *
	 * v_i : Value of Item 1 <= v_i <= 1e6
	 * w_i : Weight of Item 1 <= w_i <= s
	 * k_i : Number of Items 1 <= k_i <= 1e9
	 */

	int s, n; std::cin >> s >> n;
	std::vector<std::vector<std::array<int, 2>>> items_by_weight(s + 1);

	for (int i = 0, v, w, k; i < n; ++i) {
		std::cin >> v >> w >> k;
		items_by_weight[w].push_back({v, k});
	}

	for (auto &v : items_by_weight)
		std::sort(v.begin(), v.end(), std::greater<>());

	std::vector<int64_t> dp(s + 1, 0), dpOld;

	for (int w = 1; w <= s; ++w) {
		auto &vals = items_by_weight[w];
		if (vals.empty()) continue;

		dpOld = dp;
		int64_t profit = 0;
		int totW = 0;

		for (std::size_t i = 0; i < vals.size(); ) {
			auto &[v, k] = vals[i];
			if (k == 0) { ++i; continue; }

			profit += v;
			totW += w;
			--k;

			if (totW > s) break;

			for (int x = 0; x <= s; x++) {
				if (totW <= x)
					dp[x] = std::max(dp[x], dpOld[x - totW] + profit);
			}
		}
	}

	std::cout << dp[s] << '\n';

	return 0;
}

Subtask #1
12.0 / 12.0

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

Subtask #4
24.0 / 24.0

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

Subtask #5
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	212 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	0 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	1 ms	340 KB	Output is correct
13	Correct	1 ms	340 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	0 ms	212 KB	Output is correct
16	Correct	3 ms	340 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	0 ms	340 KB	Output is correct
20	Correct	1 ms	340 KB	Output is correct
21	Correct	1 ms	340 KB	Output is correct
22	Correct	1 ms	340 KB	Output is correct
23	Correct	1 ms	340 KB	Output is correct
24	Correct	1 ms	340 KB	Output is correct
25	Correct	0 ms	212 KB	Output is correct
26	Correct	6 ms	340 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	1 ms	340 KB	Output is correct
29	Correct	0 ms	340 KB	Output is correct
30	Correct	2 ms	340 KB	Output is correct
31	Correct	1 ms	340 KB	Output is correct
32	Correct	1 ms	340 KB	Output is correct
33	Correct	1 ms	340 KB	Output is correct
34	Correct	1 ms	340 KB	Output is correct
35	Correct	28 ms	1492 KB	Output is correct
36	Correct	37 ms	1484 KB	Output is correct
37	Correct	31 ms	1444 KB	Output is correct
38	Correct	31 ms	1548 KB	Output is correct
39	Correct	46 ms	1408 KB	Output is correct
40	Correct	58 ms	1564 KB	Output is correct
41	Correct	41 ms	1564 KB	Output is correct
42	Correct	44 ms	1572 KB	Output is correct
43	Correct	52 ms	1568 KB	Output is correct
44	Correct	57 ms	1672 KB	Output is correct
45	Correct	36 ms	1560 KB	Output is correct
46	Correct	35 ms	1484 KB	Output is correct
47	Correct	39 ms	1652 KB	Output is correct
48	Correct	45 ms	1600 KB	Output is correct
49	Correct	30 ms	1608 KB	Output is correct
50	Correct	45 ms	1360 KB	Output is correct

Submission #718464

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