답안 #970759

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
970759	2024-04-27T08:15:51 Z	54skyxenon	Knapsack (NOI18_knapsack)	C++17	100 / 100	63 ms	34392 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>>> by_weight(s + 1);

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

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

    for (int w = 1; w <= s; w++) {
        sort(by_weight[w].begin(), by_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] : by_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

#	결과	실행 시간	메모리	Grader output
1	Correct	9 ms	12380 KB	Output is correct
2	Correct	10 ms	12380 KB	Output is correct
3	Correct	10 ms	12384 KB	Output is correct
4	Correct	9 ms	12464 KB	Output is correct

Subtask #2
17.0 / 17.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	25 ms	31836 KB	Output is correct
3	Correct	25 ms	31836 KB	Output is correct
4	Correct	24 ms	31580 KB	Output is correct
5	Correct	24 ms	31580 KB	Output is correct
6	Correct	25 ms	31916 KB	Output is correct
7	Correct	26 ms	31836 KB	Output is correct
8	Correct	25 ms	31836 KB	Output is correct
9	Correct	24 ms	31836 KB	Output is correct
10	Correct	24 ms	31760 KB	Output is correct

Subtask #3
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	25 ms	31836 KB	Output is correct
3	Correct	25 ms	31836 KB	Output is correct
4	Correct	24 ms	31580 KB	Output is correct
5	Correct	24 ms	31580 KB	Output is correct
6	Correct	25 ms	31916 KB	Output is correct
7	Correct	26 ms	31836 KB	Output is correct
8	Correct	25 ms	31836 KB	Output is correct
9	Correct	24 ms	31836 KB	Output is correct
10	Correct	24 ms	31760 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	27 ms	31920 KB	Output is correct
13	Correct	26 ms	31860 KB	Output is correct
14	Correct	25 ms	31920 KB	Output is correct
15	Correct	26 ms	31580 KB	Output is correct
16	Correct	25 ms	31836 KB	Output is correct
17	Correct	26 ms	31832 KB	Output is correct
18	Correct	25 ms	31864 KB	Output is correct
19	Correct	27 ms	31836 KB	Output is correct
20	Correct	25 ms	31832 KB	Output is correct

Subtask #4
24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	9 ms	12380 KB	Output is correct
2	Correct	10 ms	12380 KB	Output is correct
3	Correct	10 ms	12384 KB	Output is correct
4	Correct	9 ms	12464 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	25 ms	31836 KB	Output is correct
7	Correct	25 ms	31836 KB	Output is correct
8	Correct	24 ms	31580 KB	Output is correct
9	Correct	24 ms	31580 KB	Output is correct
10	Correct	25 ms	31916 KB	Output is correct
11	Correct	26 ms	31836 KB	Output is correct
12	Correct	25 ms	31836 KB	Output is correct
13	Correct	24 ms	31836 KB	Output is correct
14	Correct	24 ms	31760 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	27 ms	31920 KB	Output is correct
17	Correct	26 ms	31860 KB	Output is correct
18	Correct	25 ms	31920 KB	Output is correct
19	Correct	26 ms	31580 KB	Output is correct
20	Correct	25 ms	31836 KB	Output is correct
21	Correct	26 ms	31832 KB	Output is correct
22	Correct	25 ms	31864 KB	Output is correct
23	Correct	27 ms	31836 KB	Output is correct
24	Correct	25 ms	31832 KB	Output is correct
25	Correct	0 ms	344 KB	Output is correct
26	Correct	27 ms	31836 KB	Output is correct
27	Correct	25 ms	31836 KB	Output is correct
28	Correct	25 ms	31832 KB	Output is correct
29	Correct	24 ms	31832 KB	Output is correct
30	Correct	25 ms	31836 KB	Output is correct
31	Correct	24 ms	31692 KB	Output is correct
32	Correct	25 ms	31832 KB	Output is correct
33	Correct	24 ms	31796 KB	Output is correct
34	Correct	24 ms	31836 KB	Output is correct

Subtask #5
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	9 ms	12380 KB	Output is correct
2	Correct	10 ms	12380 KB	Output is correct
3	Correct	10 ms	12384 KB	Output is correct
4	Correct	9 ms	12464 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	25 ms	31836 KB	Output is correct
7	Correct	25 ms	31836 KB	Output is correct
8	Correct	24 ms	31580 KB	Output is correct
9	Correct	24 ms	31580 KB	Output is correct
10	Correct	25 ms	31916 KB	Output is correct
11	Correct	26 ms	31836 KB	Output is correct
12	Correct	25 ms	31836 KB	Output is correct
13	Correct	24 ms	31836 KB	Output is correct
14	Correct	24 ms	31760 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	27 ms	31920 KB	Output is correct
17	Correct	26 ms	31860 KB	Output is correct
18	Correct	25 ms	31920 KB	Output is correct
19	Correct	26 ms	31580 KB	Output is correct
20	Correct	25 ms	31836 KB	Output is correct
21	Correct	26 ms	31832 KB	Output is correct
22	Correct	25 ms	31864 KB	Output is correct
23	Correct	27 ms	31836 KB	Output is correct
24	Correct	25 ms	31832 KB	Output is correct
25	Correct	0 ms	344 KB	Output is correct
26	Correct	27 ms	31836 KB	Output is correct
27	Correct	25 ms	31836 KB	Output is correct
28	Correct	25 ms	31832 KB	Output is correct
29	Correct	24 ms	31832 KB	Output is correct
30	Correct	25 ms	31836 KB	Output is correct
31	Correct	24 ms	31692 KB	Output is correct
32	Correct	25 ms	31832 KB	Output is correct
33	Correct	24 ms	31796 KB	Output is correct
34	Correct	24 ms	31836 KB	Output is correct
35	Correct	22 ms	2520 KB	Output is correct
36	Correct	49 ms	33464 KB	Output is correct
37	Correct	50 ms	33484 KB	Output is correct
38	Correct	46 ms	33348 KB	Output is correct
39	Correct	51 ms	33356 KB	Output is correct
40	Correct	63 ms	34140 KB	Output is correct
41	Correct	61 ms	34132 KB	Output is correct
42	Correct	58 ms	34136 KB	Output is correct
43	Correct	61 ms	34140 KB	Output is correct
44	Correct	60 ms	33872 KB	Output is correct
45	Correct	48 ms	34068 KB	Output is correct
46	Correct	51 ms	33432 KB	Output is correct
47	Correct	51 ms	34392 KB	Output is correct
48	Correct	55 ms	34168 KB	Output is correct
49	Correct	48 ms	33872 KB	Output is correct
50	Correct	57 ms	33620 KB	Output is correct

답안 #970759

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