Submission #938886

# Submission time Handle Problem Language Result Execution time Memory
938886 2024-03-05T18:31:40 Z myst6 Knapsack (NOI18_knapsack) C++14
100 / 100
173 ms 2908 KB
#include <bits/stdc++.h>

using namespace std;

#define int long long

signed main() {
  cin.tie(0)->sync_with_stdio(0);
  int S, N;
  cin >> S >> N;
  vector<int> dp(S+1);
  // for each weight w from 1 <= 2000
  // only need the best 2000/w items
  vector<priority_queue<pair<int,int>>> best(S+1);
  for (int i=0; i<N; i++) {
    int V, W, K;
    cin >> V >> W >> K;
    best[W].push({V, K});
  }
  for (int W=1; W<=S; W++) {
    int ct = S / W;
    while (best[W].size() && ct-- >= 0) {
      pair<int,int> VK = best[W].top();
      best[W].pop();
      int V = VK.first;
      int K = VK.second;
      for (int j=0; K>0; j++) {
        int v = V << j;
        int w = W << j;
        for (int k=S-w; k>=0; k--) {
          dp[k+w] = max(dp[k+w], dp[k]+v);
        }
        K -= 1 << j;
        if (K & (1 << j)) {
          for (int k=S-w; k>=0; k--) {
            dp[k+w] = max(dp[k+w], dp[k]+v);
          }
          K -= 1 << j;
        }
      }
    }
  }
  cout << dp[S] << "\n";
  return 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
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 532 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 532 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 360 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
# 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 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 532 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 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 1 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 1 ms 360 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
# 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 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 532 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 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 1 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 1 ms 360 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 17 ms 2520 KB Output is correct
36 Correct 57 ms 2512 KB Output is correct
37 Correct 27 ms 2508 KB Output is correct
38 Correct 19 ms 2488 KB Output is correct
39 Correct 25 ms 2336 KB Output is correct
40 Correct 91 ms 2652 KB Output is correct
41 Correct 34 ms 2640 KB Output is correct
42 Correct 39 ms 2836 KB Output is correct
43 Correct 62 ms 2856 KB Output is correct
44 Correct 68 ms 2652 KB Output is correct
45 Correct 32 ms 2648 KB Output is correct
46 Correct 22 ms 2764 KB Output is correct
47 Correct 44 ms 2908 KB Output is correct
48 Correct 67 ms 2652 KB Output is correct
49 Correct 20 ms 2648 KB Output is correct
50 Correct 173 ms 2396 KB Output is correct