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Submission #970489

# Submission time Handle Problem Language Result Execution time Memory
970489 2024-04-26T15:49:38 Z v_matei Knapsack (NOI18_knapsack) C++17
100 / 100
 107 ms 2356 KB 
#include <algorithm>
#include <iostream>
#include <vector>

#define ll long long
#define ull unsigned long long
#define pii std::pair<int, int>

#define NMAX 100'007
#define SMAX 2007

int n, s;
std::vector<pii> bestW[SMAX];
std::vector<int> v, w;
int dp[SMAX];
void citire() {
  std::cin >> s >> n;
  int a, b, c;
  for (int i = 1; i <= n; i++) {
    std::cin >> a >> b >> c;
    bestW[b].push_back({a, c});
  }
}

int main() {
  citire();

  for (int i = 1; i <= s; i++) {
    std::sort(bestW[i].begin(), bestW[i].end());
    for (int j = 0; j < s && !bestW[i].empty(); j += i) {
      v.push_back(bestW[i].back().first);
      w.push_back(i);
      if (!--bestW[i].back().second)
        bestW[i].pop_back();
    }
  }
  n = v.size();
  dp[0] = 0;
  for (int i = 0; i < n; i++) {
    for (int j = s; j >= w[i]; j--) {
      dp[j] = std::max(dp[j], dp[j - w[i]] + v[i]);
    }
  }

  std::cout << dp[s];
  return 0;
}

Subtask #1
12.0 / 12.0

# 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 1 ms 348 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 600 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 600 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 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 2 ms 348 KB Output is correct
13 Correct 0 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 344 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct

Subtask #4
24.0 / 24.0

# 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 1 ms 348 KB Output is correct
5 Correct 1 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 600 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 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 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 4 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct

Subtask #5
27.0 / 27.0

# 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 1 ms 348 KB Output is correct
5 Correct 1 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 600 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 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 0 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 4 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 55 ms 1604 KB Output is correct
36 Correct 65 ms 1568 KB Output is correct
37 Correct 57 ms 1452 KB Output is correct
38 Correct 61 ms 1612 KB Output is correct
39 Correct 85 ms 1880 KB Output is correct
40 Correct 107 ms 1872 KB Output is correct
41 Correct 83 ms 1760 KB Output is correct
42 Correct 75 ms 1736 KB Output is correct
43 Correct 86 ms 1884 KB Output is correct
44 Correct 93 ms 2356 KB Output is correct
45 Correct 81 ms 1624 KB Output is correct
46 Correct 81 ms 1480 KB Output is correct
47 Correct 84 ms 1652 KB Output is correct
48 Correct 93 ms 1616 KB Output is correct
49 Correct 73 ms 1612 KB Output is correct
50 Correct 92 ms 1420 KB Output is correct