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Submission #988236

# Submission time Handle Problem Language Result Execution time Memory
988236 2024-05-24T10:47:15 Z vjudge1 Knapsack (NOI18_knapsack) C++17
100 / 100
 98 ms 5300 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <stack>
#include <cmath>
#include <cassert>
#include <utility>

using namespace std;

void solve() {
    long long s, n;
    cin >> s >> n;
    vector<vector<pair<long long, long long>>> w(s + 5);
    for (int i = 0; i < n; ++i) {
        long long v, we, k;
        cin >> v >> we >> k;
        w[we].push_back({v, k});
    }

    vector<pair<long long, long long>> v;
    for (int i = 0; i < s + 2; ++i) {
        if (w[i].empty()) continue;
        sort(w[i].begin(), w[i].end());
        long long ct = (s + i - 1) / i;
        for (; !w[i].empty() && ct > 0; --ct) {
            w[i].back().second--;
            v.push_back({i, w[i].back().first});
            if (w[i].back().second == 0) w[i].pop_back();
        }
    }

    vector<long long> dp(s + 10, 0);
    dp[0] = 0;
    for (auto &item : v) {
        for (int j = s + 5; j >= item.first; --j) {
            dp[j] = max(dp[j], dp[j - item.first] + item.second);
        }
    }

    long long res = 0;
    for (int i = 0; i <= s; ++i) {
        res = max(res, dp[i]);
    }
    cout << res << endl;
}

int main() {
    solve();
    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 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 1 ms 348 KB Output is correct
3 Correct 2 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 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 1 ms 348 KB Output is correct
3 Correct 2 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 3 ms 344 KB Output is correct
13 Correct 1 ms 428 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 3 ms 344 KB Output is correct
17 Correct 1 ms 428 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 4 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 432 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 2 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 3 ms 344 KB Output is correct
17 Correct 1 ms 428 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 4 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 2 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 432 KB Output is correct
35 Correct 52 ms 3484 KB Output is correct
36 Correct 73 ms 3524 KB Output is correct
37 Correct 56 ms 3528 KB Output is correct
38 Correct 58 ms 3720 KB Output is correct
39 Correct 74 ms 4344 KB Output is correct
40 Correct 98 ms 5300 KB Output is correct
41 Correct 68 ms 4432 KB Output is correct
42 Correct 89 ms 4344 KB Output is correct
43 Correct 86 ms 4560 KB Output is correct
44 Correct 80 ms 4744 KB Output is correct
45 Correct 79 ms 4752 KB Output is correct
46 Correct 69 ms 4100 KB Output is correct
47 Correct 78 ms 4948 KB Output is correct
48 Correct 93 ms 5024 KB Output is correct
49 Correct 66 ms 4432 KB Output is correct
50 Correct 87 ms 4628 KB Output is correct