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Submission #749187

# Submission time Handle Problem Language Result Execution time Memory
749187 2023-05-27T13:30:14 Z cristi_a Knapsack (NOI18_knapsack) C++17
100 / 100
 291 ms 17408 KB 
#include <bits/stdc++.h>
using namespace std;
const int nmax = 1e6;
const int smax = 2e3;

int dp[smax+5][smax+5];

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);

    int s, n; cin >> s >> n;
    vector<pair<int, int>> cost[smax+5];
    for(int i=1; i<=n; i++) {
        int v, w, k; cin >> v >> w >> k;
        cost[w].emplace_back(v, k);
    }
    for(auto &i : cost) sort(i.begin(), i.end(), greater<pair<int, int>>());

    for(int i=0; i<=s; i++) {
        for(int j=1; j<=i; j++) {
            int taken = 0, val = 0;
            dp[i][j] = dp[i][j-1];
            for(auto item : cost[j]) {
                for(int ct=0; ct<item.second and (taken+1)*j<=i; ++ct) {
                    taken++; 
                    val += item.first;
                    dp[i][j] = max(dp[i][j], dp[i-taken*j][min(j-1,i-taken*j)]+val);
                }
            }
        }
    }
    cout << dp[s][s];
    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8148 KB Output is correct
2 Correct 8 ms 8148 KB Output is correct
3 Correct 7 ms 8148 KB Output is correct
4 Correct 6 ms 8148 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 14 ms 14164 KB Output is correct
3 Correct 12 ms 14064 KB Output is correct
4 Correct 12 ms 14036 KB Output is correct
5 Correct 13 ms 14084 KB Output is correct
6 Correct 17 ms 14164 KB Output is correct
7 Correct 14 ms 14164 KB Output is correct
8 Correct 14 ms 14076 KB Output is correct
9 Correct 15 ms 14148 KB Output is correct
10 Correct 15 ms 14180 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 14 ms 14164 KB Output is correct
3 Correct 12 ms 14064 KB Output is correct
4 Correct 12 ms 14036 KB Output is correct
5 Correct 13 ms 14084 KB Output is correct
6 Correct 17 ms 14164 KB Output is correct
7 Correct 14 ms 14164 KB Output is correct
8 Correct 14 ms 14076 KB Output is correct
9 Correct 15 ms 14148 KB Output is correct
10 Correct 15 ms 14180 KB Output is correct
11 Correct 1 ms 436 KB Output is correct
12 Correct 17 ms 14064 KB Output is correct
13 Correct 15 ms 14164 KB Output is correct
14 Correct 13 ms 14068 KB Output is correct
15 Correct 11 ms 14036 KB Output is correct
16 Correct 19 ms 14148 KB Output is correct
17 Correct 15 ms 14104 KB Output is correct
18 Correct 15 ms 14060 KB Output is correct
19 Correct 19 ms 14220 KB Output is correct
20 Correct 14 ms 14092 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8148 KB Output is correct
2 Correct 8 ms 8148 KB Output is correct
3 Correct 7 ms 8148 KB Output is correct
4 Correct 6 ms 8148 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 14 ms 14164 KB Output is correct
7 Correct 12 ms 14064 KB Output is correct
8 Correct 12 ms 14036 KB Output is correct
9 Correct 13 ms 14084 KB Output is correct
10 Correct 17 ms 14164 KB Output is correct
11 Correct 14 ms 14164 KB Output is correct
12 Correct 14 ms 14076 KB Output is correct
13 Correct 15 ms 14148 KB Output is correct
14 Correct 15 ms 14180 KB Output is correct
15 Correct 1 ms 436 KB Output is correct
16 Correct 17 ms 14064 KB Output is correct
17 Correct 15 ms 14164 KB Output is correct
18 Correct 13 ms 14068 KB Output is correct
19 Correct 11 ms 14036 KB Output is correct
20 Correct 19 ms 14148 KB Output is correct
21 Correct 15 ms 14104 KB Output is correct
22 Correct 15 ms 14060 KB Output is correct
23 Correct 19 ms 14220 KB Output is correct
24 Correct 14 ms 14092 KB Output is correct
25 Correct 1 ms 368 KB Output is correct
26 Correct 22 ms 14164 KB Output is correct
27 Correct 13 ms 14164 KB Output is correct
28 Correct 12 ms 14120 KB Output is correct
29 Correct 12 ms 14268 KB Output is correct
30 Correct 19 ms 14164 KB Output is correct
31 Correct 14 ms 14164 KB Output is correct
32 Correct 15 ms 14164 KB Output is correct
33 Correct 16 ms 14036 KB Output is correct
34 Correct 16 ms 14164 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8148 KB Output is correct
2 Correct 8 ms 8148 KB Output is correct
3 Correct 7 ms 8148 KB Output is correct
4 Correct 6 ms 8148 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 14 ms 14164 KB Output is correct
7 Correct 12 ms 14064 KB Output is correct
8 Correct 12 ms 14036 KB Output is correct
9 Correct 13 ms 14084 KB Output is correct
10 Correct 17 ms 14164 KB Output is correct
11 Correct 14 ms 14164 KB Output is correct
12 Correct 14 ms 14076 KB Output is correct
13 Correct 15 ms 14148 KB Output is correct
14 Correct 15 ms 14180 KB Output is correct
15 Correct 1 ms 436 KB Output is correct
16 Correct 17 ms 14064 KB Output is correct
17 Correct 15 ms 14164 KB Output is correct
18 Correct 13 ms 14068 KB Output is correct
19 Correct 11 ms 14036 KB Output is correct
20 Correct 19 ms 14148 KB Output is correct
21 Correct 15 ms 14104 KB Output is correct
22 Correct 15 ms 14060 KB Output is correct
23 Correct 19 ms 14220 KB Output is correct
24 Correct 14 ms 14092 KB Output is correct
25 Correct 1 ms 368 KB Output is correct
26 Correct 22 ms 14164 KB Output is correct
27 Correct 13 ms 14164 KB Output is correct
28 Correct 12 ms 14120 KB Output is correct
29 Correct 12 ms 14268 KB Output is correct
30 Correct 19 ms 14164 KB Output is correct
31 Correct 14 ms 14164 KB Output is correct
32 Correct 15 ms 14164 KB Output is correct
33 Correct 16 ms 14036 KB Output is correct
34 Correct 16 ms 14164 KB Output is correct
35 Correct 25 ms 2416 KB Output is correct
36 Correct 216 ms 16364 KB Output is correct
37 Correct 201 ms 16024 KB Output is correct
38 Correct 40 ms 16372 KB Output is correct
39 Correct 47 ms 17072 KB Output is correct
40 Correct 261 ms 17380 KB Output is correct
41 Correct 266 ms 16668 KB Output is correct
42 Correct 263 ms 16568 KB Output is correct
43 Correct 291 ms 16580 KB Output is correct
44 Correct 249 ms 16688 KB Output is correct
45 Correct 129 ms 17396 KB Output is correct
46 Correct 113 ms 16988 KB Output is correct
47 Correct 150 ms 17408 KB Output is correct
48 Correct 195 ms 17396 KB Output is correct
49 Correct 129 ms 17188 KB Output is correct
50 Correct 224 ms 17268 KB Output is correct