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Submission #828853

# Submission time Handle Problem Language Result Execution time Memory
828853 2023-08-17T17:40:21 Z raphaelp Knapsack (NOI18_knapsack) C++14
100 / 100
 105 ms 7960 KB 
#include <bits/stdc++.h>
using namespace std;
int main()
{
    int S, N;
    cin >> S >> N;
    vector<vector<int>> Tab(N, vector<int>(3));
    for (int i = 0; i < N; i++)
    {
        cin >> Tab[i][0] >> Tab[i][1] >> Tab[i][2];
    }
    sort(Tab.begin(), Tab.end());
    vector<vector<int>> Val(S + 1);
    for (int i = N - 1; i >= 0; i--)
    {
        while (Tab[i][2] && Val[Tab[i][1]].size() * Tab[i][1] <= S)
        {
            Val[Tab[i][1]].push_back(Tab[i][0]);
            Tab[i][2]--;
        }
    }
    vector<int> dp(S + 1);
    for (int i = 1; i <= S; i++)
    {
        for (int j = 0; j < Val[i].size(); j++)
        {
            for (int k = S - i; k >= 0; k--)
            {
                dp[k + i] = max(dp[k + i], dp[k] + Val[i][j]);
            }
        }
    }
    int ans = 0;
    for (int i = 0; i <= S; i++)
    {
        ans = max(ans, dp[i]);
    }
    cout << ans;
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:16:63: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   16 |         while (Tab[i][2] && Val[Tab[i][1]].size() * Tab[i][1] <= S)
      |                             ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
knapsack.cpp:25:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   25 |         for (int j = 0; j < Val[i].size(); j++)
      |                         ~~^~~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 300 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 300 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 296 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 300 KB Output is correct
34 Correct 1 ms 340 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 296 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 300 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 62 ms 6772 KB Output is correct
36 Correct 68 ms 7044 KB Output is correct
37 Correct 63 ms 6832 KB Output is correct
38 Correct 66 ms 7160 KB Output is correct
39 Correct 84 ms 7936 KB Output is correct
40 Correct 105 ms 7960 KB Output is correct
41 Correct 80 ms 7336 KB Output is correct
42 Correct 91 ms 7244 KB Output is correct
43 Correct 88 ms 7160 KB Output is correct
44 Correct 88 ms 7200 KB Output is correct
45 Correct 83 ms 7804 KB Output is correct
46 Correct 81 ms 7664 KB Output is correct
47 Correct 91 ms 7792 KB Output is correct
48 Correct 94 ms 7884 KB Output is correct
49 Correct 79 ms 7548 KB Output is correct
50 Correct 99 ms 7668 KB Output is correct