Submission #970760

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
970760	2024-04-27T08:19:16 Z	54skyxenon	Knapsack (NOI18_knapsack)	C++17	100 / 100	62 ms	34212 KB

knapsack

// https://oj.uz/problem/view/NOI18_knapsack

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

#define int long long

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int s, n;
    cin >> s >> n;

    vector<vector<pair<int, int>>> items_of_weight(s + 1);

    for (int i = 0; i < n; i++) {
        int v, w, k;
        cin >> v >> w >> k;
        items_of_weight[w].push_back({v, k});
    }

    vector<vector<int>> dp(s + 1, vector<int>(s + 1));

    for (int w = 1; w <= s; w++) {
        sort(items_of_weight[w].begin(), items_of_weight[w].end(), greater<pair<int, int>>());
        
        for (int capacity = 1; capacity <= s; capacity++) {
            dp[w][capacity] = max(dp[w - 1][capacity], dp[w][capacity - 1]);

            int gained = 0;
            int consumed = 0;

            for (auto& [v, k] : items_of_weight[w]) {
                if (consumed + w > capacity) {
                    break;
                }

                for (int taken = 0; consumed + w <= capacity && taken < k; taken++) {
                    gained += v;
                    consumed += w;
                    dp[w][capacity] = max(dp[w][capacity], gained + dp[w - 1][capacity - consumed]);
                }
            }
        }
    }

    cout << dp[s][s] << '\n';
}

Subtask #1
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	10 ms	12376 KB	Output is correct
2	Correct	9 ms	12376 KB	Output is correct
3	Correct	10 ms	12376 KB	Output is correct
4	Correct	10 ms	12380 KB	Output is correct

Subtask #2
17.0 / 17.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	29 ms	31904 KB	Output is correct
3	Correct	25 ms	31836 KB	Output is correct
4	Correct	25 ms	31772 KB	Output is correct
5	Correct	24 ms	31580 KB	Output is correct
6	Correct	25 ms	31836 KB	Output is correct
7	Correct	25 ms	31832 KB	Output is correct
8	Correct	25 ms	31836 KB	Output is correct
9	Correct	25 ms	31836 KB	Output is correct
10	Correct	26 ms	31836 KB	Output is correct

Subtask #3
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	29 ms	31904 KB	Output is correct
3	Correct	25 ms	31836 KB	Output is correct
4	Correct	25 ms	31772 KB	Output is correct
5	Correct	24 ms	31580 KB	Output is correct
6	Correct	25 ms	31836 KB	Output is correct
7	Correct	25 ms	31832 KB	Output is correct
8	Correct	25 ms	31836 KB	Output is correct
9	Correct	25 ms	31836 KB	Output is correct
10	Correct	26 ms	31836 KB	Output is correct
11	Correct	1 ms	344 KB	Output is correct
12	Correct	26 ms	31836 KB	Output is correct
13	Correct	26 ms	31832 KB	Output is correct
14	Correct	25 ms	31836 KB	Output is correct
15	Correct	25 ms	31580 KB	Output is correct
16	Correct	25 ms	31836 KB	Output is correct
17	Correct	24 ms	31848 KB	Output is correct
18	Correct	26 ms	31836 KB	Output is correct
19	Correct	25 ms	31908 KB	Output is correct
20	Correct	25 ms	31832 KB	Output is correct

Subtask #4
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	10 ms	12376 KB	Output is correct
2	Correct	9 ms	12376 KB	Output is correct
3	Correct	10 ms	12376 KB	Output is correct
4	Correct	10 ms	12380 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	29 ms	31904 KB	Output is correct
7	Correct	25 ms	31836 KB	Output is correct
8	Correct	25 ms	31772 KB	Output is correct
9	Correct	24 ms	31580 KB	Output is correct
10	Correct	25 ms	31836 KB	Output is correct
11	Correct	25 ms	31832 KB	Output is correct
12	Correct	25 ms	31836 KB	Output is correct
13	Correct	25 ms	31836 KB	Output is correct
14	Correct	26 ms	31836 KB	Output is correct
15	Correct	1 ms	344 KB	Output is correct
16	Correct	26 ms	31836 KB	Output is correct
17	Correct	26 ms	31832 KB	Output is correct
18	Correct	25 ms	31836 KB	Output is correct
19	Correct	25 ms	31580 KB	Output is correct
20	Correct	25 ms	31836 KB	Output is correct
21	Correct	24 ms	31848 KB	Output is correct
22	Correct	26 ms	31836 KB	Output is correct
23	Correct	25 ms	31908 KB	Output is correct
24	Correct	25 ms	31832 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	28 ms	31860 KB	Output is correct
27	Correct	24 ms	31836 KB	Output is correct
28	Correct	25 ms	31836 KB	Output is correct
29	Correct	26 ms	31856 KB	Output is correct
30	Correct	29 ms	31772 KB	Output is correct
31	Correct	26 ms	31836 KB	Output is correct
32	Correct	24 ms	31836 KB	Output is correct
33	Correct	25 ms	31580 KB	Output is correct
34	Correct	25 ms	31836 KB	Output is correct

Subtask #5
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	10 ms	12376 KB	Output is correct
2	Correct	9 ms	12376 KB	Output is correct
3	Correct	10 ms	12376 KB	Output is correct
4	Correct	10 ms	12380 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	29 ms	31904 KB	Output is correct
7	Correct	25 ms	31836 KB	Output is correct
8	Correct	25 ms	31772 KB	Output is correct
9	Correct	24 ms	31580 KB	Output is correct
10	Correct	25 ms	31836 KB	Output is correct
11	Correct	25 ms	31832 KB	Output is correct
12	Correct	25 ms	31836 KB	Output is correct
13	Correct	25 ms	31836 KB	Output is correct
14	Correct	26 ms	31836 KB	Output is correct
15	Correct	1 ms	344 KB	Output is correct
16	Correct	26 ms	31836 KB	Output is correct
17	Correct	26 ms	31832 KB	Output is correct
18	Correct	25 ms	31836 KB	Output is correct
19	Correct	25 ms	31580 KB	Output is correct
20	Correct	25 ms	31836 KB	Output is correct
21	Correct	24 ms	31848 KB	Output is correct
22	Correct	26 ms	31836 KB	Output is correct
23	Correct	25 ms	31908 KB	Output is correct
24	Correct	25 ms	31832 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	28 ms	31860 KB	Output is correct
27	Correct	24 ms	31836 KB	Output is correct
28	Correct	25 ms	31836 KB	Output is correct
29	Correct	26 ms	31856 KB	Output is correct
30	Correct	29 ms	31772 KB	Output is correct
31	Correct	26 ms	31836 KB	Output is correct
32	Correct	24 ms	31836 KB	Output is correct
33	Correct	25 ms	31580 KB	Output is correct
34	Correct	25 ms	31836 KB	Output is correct
35	Correct	22 ms	2516 KB	Output is correct
36	Correct	49 ms	33484 KB	Output is correct
37	Correct	50 ms	33484 KB	Output is correct
38	Correct	47 ms	33340 KB	Output is correct
39	Correct	50 ms	33344 KB	Output is correct
40	Correct	62 ms	34208 KB	Output is correct
41	Correct	60 ms	34208 KB	Output is correct
42	Correct	60 ms	34212 KB	Output is correct
43	Correct	60 ms	34136 KB	Output is correct
44	Correct	59 ms	33884 KB	Output is correct
45	Correct	49 ms	34140 KB	Output is correct
46	Correct	51 ms	33484 KB	Output is correct
47	Correct	50 ms	34172 KB	Output is correct
48	Correct	54 ms	34132 KB	Output is correct
49	Correct	53 ms	33936 KB	Output is correct
50	Correct	60 ms	33488 KB	Output is correct

Submission #970760

Compilation message

Subtask #1 12.0 / 12.0

Subtask #2 17.0 / 17.0

Subtask #3 20.0 / 20.0

Subtask #4 24.0 / 24.0

Subtask #5 27.0 / 27.0

Subtask #1
12.0 / 12.0

Subtask #2
17.0 / 17.0

Subtask #3
20.0 / 20.0

Subtask #4
24.0 / 24.0

Subtask #5
27.0 / 27.0