Submission #653887

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
653887	2022-10-28T17:52:56 Z	fahimcp495	Knapsack (NOI18_knapsack)	C++17	100 / 100	69 ms	5104 KB

knapsack

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

#define dbg(a)  cerr << #a << ": " << a << "\n"

using ll = long long;

void solve() {
  ll s, n;  cin >> s >> n;
  vector<array<ll, 2>> vk[s + 1];
  for (int i = 0; i < n; ++i) {
    ll vi, wi, ki;  cin >> vi >> wi >> ki;
    vk[wi].push_back({vi, ki});
  }

  vector<array<ll, 2>> a;
  for (int w = 1; w <= s; ++w) {
    sort(vk[w].rbegin(), vk[w].rend());
    int left = s / w;
    for (auto [v, k]: vk[w]) {
      while (left > 0 and k > 0) {
        a.push_back({w, v});
        left--, k--;
      }
    }
  }

  vector<ll> dp(s + 1);
  for (auto [w, v]: a) {
    for (ll i = s - w; i >= 0; --i) {
      dp[i + w] = max(dp[i + w], dp[i] + v);
    }
  }

  cout << *max_element(dp.begin(), dp.end()) << "\n";
}

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

  int tc = 1;
  for (int t = 1; t <= tc; ++t) {
    solve();
  }
}

Subtask #1

12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	340 KB	Output is correct
2	Correct	1 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	320 KB	Output is correct

Subtask #2

17.0 / 17.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 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	1 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	320 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	1 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	1 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	320 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	1 ms	316 KB	Output is correct
12	Correct	3 ms	320 KB	Output is correct
13	Correct	1 ms	340 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	1 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	320 KB	Output is correct
19	Correct	1 ms	320 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	1 ms	340 KB	Output is correct
2	Correct	1 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	320 KB	Output is correct
5	Correct	1 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	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	1 ms	340 KB	Output is correct
12	Correct	1 ms	340 KB	Output is correct
13	Correct	1 ms	320 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	1 ms	316 KB	Output is correct
16	Correct	3 ms	320 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
21	Correct	1 ms	340 KB	Output is correct
22	Correct	1 ms	320 KB	Output is correct
23	Correct	1 ms	320 KB	Output is correct
24	Correct	1 ms	340 KB	Output is correct
25	Correct	1 ms	212 KB	Output is correct
26	Correct	4 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	1 ms	320 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	1 ms	340 KB	Output is correct
2	Correct	1 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	320 KB	Output is correct
5	Correct	1 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	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	1 ms	340 KB	Output is correct
12	Correct	1 ms	340 KB	Output is correct
13	Correct	1 ms	320 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	1 ms	316 KB	Output is correct
16	Correct	3 ms	320 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
21	Correct	1 ms	340 KB	Output is correct
22	Correct	1 ms	320 KB	Output is correct
23	Correct	1 ms	320 KB	Output is correct
24	Correct	1 ms	340 KB	Output is correct
25	Correct	1 ms	212 KB	Output is correct
26	Correct	4 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	1 ms	320 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	35 ms	3084 KB	Output is correct
36	Correct	39 ms	3004 KB	Output is correct
37	Correct	36 ms	3408 KB	Output is correct
38	Correct	31 ms	3696 KB	Output is correct
39	Correct	46 ms	4256 KB	Output is correct
40	Correct	69 ms	5104 KB	Output is correct
41	Correct	40 ms	4308 KB	Output is correct
42	Correct	45 ms	4308 KB	Output is correct
43	Correct	51 ms	4268 KB	Output is correct
44	Correct	55 ms	4380 KB	Output is correct
45	Correct	49 ms	4644 KB	Output is correct
46	Correct	48 ms	4040 KB	Output is correct
47	Correct	43 ms	5076 KB	Output is correct
48	Correct	45 ms	4900 KB	Output is correct
49	Correct	34 ms	4436 KB	Output is correct
50	Correct	53 ms	4440 KB	Output is correct