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Submission #558124

# Submission time Handle Problem Language Result Execution time Memory
558124 2022-05-06T23:31:08 Z EthanKim8683 Knapsack (NOI18_knapsack) C++17
100 / 100
 265 ms 4796 KB 
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <tuple>

using namespace std;

using I = int;
using Lli = long long int;

const I N = 100000;
const Lli S = 2000;

tuple<Lli, Lli, Lli> items[N];
Lli dp[S + 1];

I main(void) {
#ifdef ETHANKIM8683
  freopen("knapsack.in", "r", stdin);
#endif
  cin.tie(0)->sync_with_stdio(0);
  Lli s, n;
  cin >> s >> n;
  for (I i = n; i--;) {
    auto& [v, w, k] = items[i];
    cin >> v >> w >> k;
  }
  sort(items, items + n);
  for (I i = n; i--;) {
    const auto [v, w, k] = items[i];
    for (Lli j = s; j--;) {
      const auto cur = dp[j];
      for (Lli l = 1; l <= k && j + l * w <= s && cur + l * v > dp[j + l * w]; l++)
        dp[j + l * w] = cur + l * v;
    }
  }
  printf("%lli\n", dp[s]);
  return 0;
}

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 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 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 1 ms 212 KB Output is correct
5 Correct 1 ms 328 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 328 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 1 ms 212 KB Output is correct
5 Correct 1 ms 328 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 328 KB Output is correct
11 Correct 1 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 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 328 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 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 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 1 ms 212 KB Output is correct
9 Correct 1 ms 328 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 328 KB Output is correct
15 Correct 1 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 212 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 1 ms 328 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 1 ms 212 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 332 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 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 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 1 ms 212 KB Output is correct
9 Correct 1 ms 328 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 328 KB Output is correct
15 Correct 1 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 212 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 1 ms 328 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 1 ms 212 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 2 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 332 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 27 ms 3652 KB Output is correct
36 Correct 241 ms 3968 KB Output is correct
37 Correct 227 ms 3732 KB Output is correct
38 Correct 178 ms 4016 KB Output is correct
39 Correct 217 ms 4796 KB Output is correct
40 Correct 207 ms 4684 KB Output is correct
41 Correct 204 ms 4088 KB Output is correct
42 Correct 205 ms 4072 KB Output is correct
43 Correct 226 ms 4236 KB Output is correct
44 Correct 224 ms 4084 KB Output is correct
45 Correct 223 ms 4744 KB Output is correct
46 Correct 262 ms 4604 KB Output is correct
47 Correct 210 ms 4736 KB Output is correct
48 Correct 232 ms 4736 KB Output is correct
49 Correct 255 ms 4548 KB Output is correct
50 Correct 265 ms 4584 KB Output is correct