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Submission #966892

# Submission time Handle Problem Language Result Execution time Memory
966892 2024-04-20T14:55:47 Z Jomnoi Knapsack (NOI18_knapsack) C++17
100 / 100
 215 ms 19540 KB 
#include <bits/stdc++.h>
using namespace std;

const int MAX_W = 2005;

int dp[MAX_W][MAX_W];
vector <pair <int, int>> items[MAX_W];

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);

    int S, N;
    cin >> S >> N;

    while (N--) {
        int v, w, k;
        cin >> v >> w >> k;

        items[w].emplace_back(v, k);
    }

    for (int w = 1; w <= S; w++) sort(items[w].begin(), items[w].end(), greater <pair <int, int>> ());
    for (int i = 1; i <= S; i++) {
        for (int w = 0; w <= S; w++) {
            int cur_w = w, cur_v = 0;
            dp[i][w] = dp[i - 1][w];
            for (auto [v, k] : items[i]) {
                int cur_k = k;
                while (cur_w - i >= 0 and cur_k > 0) {
                    dp[i][w] = max(dp[i][w], dp[i - 1][cur_w - i] + cur_v + v);
                    cur_v += v;
                    cur_w -= i;
                    cur_k--;
                }
            }
        }
    }
    cout << dp[S][S];
    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 10844 KB Output is correct
2 Correct 4 ms 10844 KB Output is correct
3 Correct 5 ms 10844 KB Output is correct
4 Correct 4 ms 10844 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 9 ms 16144 KB Output is correct
3 Correct 10 ms 15964 KB Output is correct
4 Correct 9 ms 15964 KB Output is correct
5 Correct 8 ms 15964 KB Output is correct
6 Correct 8 ms 16028 KB Output is correct
7 Correct 8 ms 15964 KB Output is correct
8 Correct 8 ms 16032 KB Output is correct
9 Correct 9 ms 15964 KB Output is correct
10 Correct 8 ms 16016 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 9 ms 16144 KB Output is correct
3 Correct 10 ms 15964 KB Output is correct
4 Correct 9 ms 15964 KB Output is correct
5 Correct 8 ms 15964 KB Output is correct
6 Correct 8 ms 16028 KB Output is correct
7 Correct 8 ms 15964 KB Output is correct
8 Correct 8 ms 16032 KB Output is correct
9 Correct 9 ms 15964 KB Output is correct
10 Correct 8 ms 16016 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 11 ms 15960 KB Output is correct
13 Correct 10 ms 16176 KB Output is correct
14 Correct 8 ms 15964 KB Output is correct
15 Correct 8 ms 15960 KB Output is correct
16 Correct 9 ms 15964 KB Output is correct
17 Correct 8 ms 15960 KB Output is correct
18 Correct 8 ms 15964 KB Output is correct
19 Correct 14 ms 16016 KB Output is correct
20 Correct 8 ms 15964 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 10844 KB Output is correct
2 Correct 4 ms 10844 KB Output is correct
3 Correct 5 ms 10844 KB Output is correct
4 Correct 4 ms 10844 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 9 ms 16144 KB Output is correct
7 Correct 10 ms 15964 KB Output is correct
8 Correct 9 ms 15964 KB Output is correct
9 Correct 8 ms 15964 KB Output is correct
10 Correct 8 ms 16028 KB Output is correct
11 Correct 8 ms 15964 KB Output is correct
12 Correct 8 ms 16032 KB Output is correct
13 Correct 9 ms 15964 KB Output is correct
14 Correct 8 ms 16016 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 11 ms 15960 KB Output is correct
17 Correct 10 ms 16176 KB Output is correct
18 Correct 8 ms 15964 KB Output is correct
19 Correct 8 ms 15960 KB Output is correct
20 Correct 9 ms 15964 KB Output is correct
21 Correct 8 ms 15960 KB Output is correct
22 Correct 8 ms 15964 KB Output is correct
23 Correct 14 ms 16016 KB Output is correct
24 Correct 8 ms 15964 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 11 ms 15960 KB Output is correct
27 Correct 10 ms 16032 KB Output is correct
28 Correct 11 ms 16032 KB Output is correct
29 Correct 8 ms 15964 KB Output is correct
30 Correct 9 ms 15964 KB Output is correct
31 Correct 8 ms 16020 KB Output is correct
32 Correct 10 ms 16012 KB Output is correct
33 Correct 11 ms 15964 KB Output is correct
34 Correct 11 ms 15964 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 10844 KB Output is correct
2 Correct 4 ms 10844 KB Output is correct
3 Correct 5 ms 10844 KB Output is correct
4 Correct 4 ms 10844 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 9 ms 16144 KB Output is correct
7 Correct 10 ms 15964 KB Output is correct
8 Correct 9 ms 15964 KB Output is correct
9 Correct 8 ms 15964 KB Output is correct
10 Correct 8 ms 16028 KB Output is correct
11 Correct 8 ms 15964 KB Output is correct
12 Correct 8 ms 16032 KB Output is correct
13 Correct 9 ms 15964 KB Output is correct
14 Correct 8 ms 16016 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 11 ms 15960 KB Output is correct
17 Correct 10 ms 16176 KB Output is correct
18 Correct 8 ms 15964 KB Output is correct
19 Correct 8 ms 15960 KB Output is correct
20 Correct 9 ms 15964 KB Output is correct
21 Correct 8 ms 15960 KB Output is correct
22 Correct 8 ms 15964 KB Output is correct
23 Correct 14 ms 16016 KB Output is correct
24 Correct 8 ms 15964 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 11 ms 15960 KB Output is correct
27 Correct 10 ms 16032 KB Output is correct
28 Correct 11 ms 16032 KB Output is correct
29 Correct 8 ms 15964 KB Output is correct
30 Correct 9 ms 15964 KB Output is correct
31 Correct 8 ms 16020 KB Output is correct
32 Correct 10 ms 16012 KB Output is correct
33 Correct 11 ms 15964 KB Output is correct
34 Correct 11 ms 15964 KB Output is correct
35 Correct 22 ms 2776 KB Output is correct
36 Correct 157 ms 18352 KB Output is correct
37 Correct 212 ms 18048 KB Output is correct
38 Correct 155 ms 18472 KB Output is correct
39 Correct 161 ms 19148 KB Output is correct
40 Correct 215 ms 19524 KB Output is correct
41 Correct 200 ms 18508 KB Output is correct
42 Correct 194 ms 18512 KB Output is correct
43 Correct 206 ms 18528 KB Output is correct
44 Correct 206 ms 18496 KB Output is correct
45 Correct 162 ms 19356 KB Output is correct
46 Correct 161 ms 18892 KB Output is correct
47 Correct 164 ms 19540 KB Output is correct
48 Correct 186 ms 19212 KB Output is correct
49 Correct 155 ms 19164 KB Output is correct
50 Correct 166 ms 19024 KB Output is correct