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Submission #1113118

# Submission time Handle Problem Language Result Execution time Memory
1113118 2024-11-15T19:31:28 Z buzdi Knapsack (NOI18_knapsack) C++17
73 / 100
 1000 ms 2908 KB 
#include <iostream>
#include <map>
#include <vector>
#include <queue>
#include <cassert>
#define ll long long

using namespace std;

const int NMAX = 1e5;
const ll INF = 1e18;
const int SMAX = 2000;

int S, n;
int v[NMAX + 1], w[NMAX + 1], k[NMAX + 1];
ll dp[SMAX + 1], answer;

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

	cin >> S >> n;
	for(int i = 1; i <= n; i++) {
		cin >> v[i] >> w[i] >> k[i];
	}
	
	for (int i = 0; i <= S; i++) {
		dp[i] = -INF;
	}

	dp[0] = 0;
	for (int i = 1; i <= n; i++) {
		for (int j = S; j >= w[i]; j--) {
			for (int c = 1; c <= k[i] && j - w[i] * c >= 0; c++) {
				if (dp[j - w[i] * c] != -INF) {
					dp[j] = max(dp[j], dp[j - w[i] * c] + (ll) v[i] * c);
				}
			}
		}
	}

	answer = -INF;
	for (int j = 0; j <= S; j++) {
		answer = max(answer, dp[j]);
	}
	cout << answer << '\n';

	return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 3 ms 668 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 504 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 3 ms 668 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 504 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 144 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 416 KB Output is correct
34 Correct 1 ms 348 KB Output is correct

Subtask #5
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 3 ms 668 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 504 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 144 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 416 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 14 ms 2652 KB Output is correct
36 Execution timed out 1045 ms 2908 KB Time limit exceeded
37 Halted 0 ms 0 KB -