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Submission #968548

# Submission time Handle Problem Language Result Execution time Memory
968548 2024-04-23T15:17:23 Z vjudge1 Knapsack (NOI18_knapsack) C++17
100 / 100
 583 ms 161832 KB 
#include<bits/stdc++.h>
using namespace std;

const int MAXS = 2000;
const int MAXITEM = 20000;
const int INF = 2e9;

int S, N;
vector<pair<int, int> > A[MAXS + 5];
vector<pair<int, int> > items;
int DP[MAXITEM + 5][MAXS + 5];

int f(int idx, int cap) {
    if (cap < 0) return -INF;
    if (idx == items.size()) return 0;
    int &ret = DP[idx][cap];
    if (ret != -1) return ret;
    auto [w, v] = items[idx];
    return ret = max(f(idx + 1, cap), f(idx + 1, cap - w) + v);
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    cin >> S >> N;
    for (int i = 0; i < N; i++) {
        int v, w, k;
        cin >> v >> w >> k;
        A[w].push_back({v, k});
    }
    for (int w = 1; w <= MAXS; w++) {
        sort(A[w].begin(), A[w].end());
        int used = MAXS / w + 1;
        while (used != 0 && !A[w].empty()) {
            auto &[v, k] = A[w].back();
            items.push_back({w, v});
            k--;
            used--;
            if (k == 0) A[w].pop_back();
        }
    }
    memset(DP, -1, sizeof DP);
    cout << f(0, S) << endl;
    return 0;
}

Compilation message

knapsack.cpp: In function 'int f(int, int)':
knapsack.cpp:15:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   15 |     if (idx == items.size()) return 0;
      |         ~~~~^~~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 157276 KB Output is correct
2 Correct 20 ms 157440 KB Output is correct
3 Correct 20 ms 157268 KB Output is correct
4 Correct 20 ms 157276 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 157664 KB Output is correct
2 Correct 20 ms 157276 KB Output is correct
3 Correct 20 ms 157276 KB Output is correct
4 Correct 21 ms 157276 KB Output is correct
5 Correct 21 ms 157268 KB Output is correct
6 Correct 21 ms 157288 KB Output is correct
7 Correct 21 ms 157276 KB Output is correct
8 Correct 23 ms 157360 KB Output is correct
9 Correct 22 ms 157276 KB Output is correct
10 Correct 22 ms 157276 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 157664 KB Output is correct
2 Correct 20 ms 157276 KB Output is correct
3 Correct 20 ms 157276 KB Output is correct
4 Correct 21 ms 157276 KB Output is correct
5 Correct 21 ms 157268 KB Output is correct
6 Correct 21 ms 157288 KB Output is correct
7 Correct 21 ms 157276 KB Output is correct
8 Correct 23 ms 157360 KB Output is correct
9 Correct 22 ms 157276 KB Output is correct
10 Correct 22 ms 157276 KB Output is correct
11 Correct 20 ms 157264 KB Output is correct
12 Correct 26 ms 157532 KB Output is correct
13 Correct 20 ms 157404 KB Output is correct
14 Correct 20 ms 157276 KB Output is correct
15 Correct 20 ms 157268 KB Output is correct
16 Correct 24 ms 157272 KB Output is correct
17 Correct 21 ms 157276 KB Output is correct
18 Correct 22 ms 157268 KB Output is correct
19 Correct 25 ms 157264 KB Output is correct
20 Correct 22 ms 157360 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 157276 KB Output is correct
2 Correct 20 ms 157440 KB Output is correct
3 Correct 20 ms 157268 KB Output is correct
4 Correct 20 ms 157276 KB Output is correct
5 Correct 22 ms 157664 KB Output is correct
6 Correct 20 ms 157276 KB Output is correct
7 Correct 20 ms 157276 KB Output is correct
8 Correct 21 ms 157276 KB Output is correct
9 Correct 21 ms 157268 KB Output is correct
10 Correct 21 ms 157288 KB Output is correct
11 Correct 21 ms 157276 KB Output is correct
12 Correct 23 ms 157360 KB Output is correct
13 Correct 22 ms 157276 KB Output is correct
14 Correct 22 ms 157276 KB Output is correct
15 Correct 20 ms 157264 KB Output is correct
16 Correct 26 ms 157532 KB Output is correct
17 Correct 20 ms 157404 KB Output is correct
18 Correct 20 ms 157276 KB Output is correct
19 Correct 20 ms 157268 KB Output is correct
20 Correct 24 ms 157272 KB Output is correct
21 Correct 21 ms 157276 KB Output is correct
22 Correct 22 ms 157268 KB Output is correct
23 Correct 25 ms 157264 KB Output is correct
24 Correct 22 ms 157360 KB Output is correct
25 Correct 20 ms 157264 KB Output is correct
26 Correct 38 ms 157532 KB Output is correct
27 Correct 20 ms 157276 KB Output is correct
28 Correct 20 ms 157272 KB Output is correct
29 Correct 21 ms 157272 KB Output is correct
30 Correct 27 ms 157532 KB Output is correct
31 Correct 21 ms 157268 KB Output is correct
32 Correct 21 ms 157336 KB Output is correct
33 Correct 22 ms 157272 KB Output is correct
34 Correct 22 ms 157272 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 157276 KB Output is correct
2 Correct 20 ms 157440 KB Output is correct
3 Correct 20 ms 157268 KB Output is correct
4 Correct 20 ms 157276 KB Output is correct
5 Correct 22 ms 157664 KB Output is correct
6 Correct 20 ms 157276 KB Output is correct
7 Correct 20 ms 157276 KB Output is correct
8 Correct 21 ms 157276 KB Output is correct
9 Correct 21 ms 157268 KB Output is correct
10 Correct 21 ms 157288 KB Output is correct
11 Correct 21 ms 157276 KB Output is correct
12 Correct 23 ms 157360 KB Output is correct
13 Correct 22 ms 157276 KB Output is correct
14 Correct 22 ms 157276 KB Output is correct
15 Correct 20 ms 157264 KB Output is correct
16 Correct 26 ms 157532 KB Output is correct
17 Correct 20 ms 157404 KB Output is correct
18 Correct 20 ms 157276 KB Output is correct
19 Correct 20 ms 157268 KB Output is correct
20 Correct 24 ms 157272 KB Output is correct
21 Correct 21 ms 157276 KB Output is correct
22 Correct 22 ms 157268 KB Output is correct
23 Correct 25 ms 157264 KB Output is correct
24 Correct 22 ms 157360 KB Output is correct
25 Correct 20 ms 157264 KB Output is correct
26 Correct 38 ms 157532 KB Output is correct
27 Correct 20 ms 157276 KB Output is correct
28 Correct 20 ms 157272 KB Output is correct
29 Correct 21 ms 157272 KB Output is correct
30 Correct 27 ms 157532 KB Output is correct
31 Correct 21 ms 157268 KB Output is correct
32 Correct 21 ms 157336 KB Output is correct
33 Correct 22 ms 157272 KB Output is correct
34 Correct 22 ms 157272 KB Output is correct
35 Correct 41 ms 159440 KB Output is correct
36 Correct 60 ms 159696 KB Output is correct
37 Correct 55 ms 159508 KB Output is correct
38 Correct 43 ms 159676 KB Output is correct
39 Correct 45 ms 160452 KB Output is correct
40 Correct 550 ms 161832 KB Output is correct
41 Correct 344 ms 160592 KB Output is correct
42 Correct 423 ms 160600 KB Output is correct
43 Correct 583 ms 161080 KB Output is correct
44 Correct 564 ms 160976 KB Output is correct
45 Correct 59 ms 160848 KB Output is correct
46 Correct 45 ms 160204 KB Output is correct
47 Correct 125 ms 161012 KB Output is correct
48 Correct 269 ms 161108 KB Output is correct
49 Correct 43 ms 160336 KB Output is correct
50 Correct 290 ms 161100 KB Output is correct