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Submission #543795

# Submission time Handle Problem Language Result Execution time Memory
543795 2022-03-31T11:53:20 Z zammy Knapsack (NOI18_knapsack) C++17
100 / 100
 107 ms 38720 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;

const int inf = INT_MAX, mod = 1e9 + 7, MAX_N = (1e5), MAX_S = 2000;

void solve()
{
    int S, N;
    cin >> S >> N;
    vector<int> V(N + 1), W(N + 1), K(N + 1);
    map<int, vector<pair<int, int>>> mp;
    for (int i = 1; i <= N; i++)
    {
        cin >> V[i] >> W[i] >> K[i];
        mp[W[i]].push_back({V[i], K[i]});
    }
    int i = 1;
    vector<vector<int>> dp((int)mp.size() + 1LL, vector<int>(S + 1, -1));
    for (int i = 0; i <= S; i++)
        dp[0][i] = 0;
    for (auto &[wt, items] : mp)
    {
        sort(items.rbegin(), items.rend());
        for (int j = 0; j <= S; j++)
        {
            dp[i][j] = dp[i - 1][j];
            int curr_item = 0, cnt = 0, curr_item_cnt = 0, profit = 0;
            while (curr_item < (int)items.size() && j - ((cnt + 1) * wt) >= 0 && dp[i - 1][j - ((cnt + 1) * wt)] != -1)
            {
                cnt++;
                profit += items[curr_item].first;
                dp[i][j] = max(dp[i][j], dp[i - 1][j - (cnt * wt)] + profit);
                if (curr_item_cnt + 1 == items[curr_item].second)
                    curr_item++, curr_item_cnt = 0;
                else
                    curr_item_cnt++;
            }
        }
        i++;
    }
    cout << *max_element(dp.back().begin(), dp.back().end()) << "\n";
}

int32_t main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout << fixed;
    cout << setprecision(9);
    int tt = 1;
    // cin >> tt;
    for (int i = 1; i <= tt; i++)
    {
        // cout << "Case #" << i << ": ";
        solve();
    }
    cerr << "time taken : " << (float)clock() / CLOCKS_PER_SEC << " secs" << endl;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 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 316 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 2 ms 1748 KB Output is correct
7 Correct 2 ms 1876 KB Output is correct
8 Correct 1 ms 1748 KB Output is correct
9 Correct 1 ms 1748 KB Output is correct
10 Correct 2 ms 1748 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 316 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 2 ms 1748 KB Output is correct
7 Correct 2 ms 1876 KB Output is correct
8 Correct 1 ms 1748 KB Output is correct
9 Correct 1 ms 1748 KB Output is correct
10 Correct 2 ms 1748 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 6 ms 340 KB Output is correct
13 Correct 2 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 2 ms 1876 KB Output is correct
17 Correct 2 ms 1748 KB Output is correct
18 Correct 2 ms 1748 KB Output is correct
19 Correct 2 ms 1748 KB Output is correct
20 Correct 2 ms 1856 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 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 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 316 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 1748 KB Output is correct
11 Correct 2 ms 1876 KB Output is correct
12 Correct 1 ms 1748 KB Output is correct
13 Correct 1 ms 1748 KB Output is correct
14 Correct 2 ms 1748 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 6 ms 340 KB Output is correct
17 Correct 2 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 2 ms 1876 KB Output is correct
21 Correct 2 ms 1748 KB Output is correct
22 Correct 2 ms 1748 KB Output is correct
23 Correct 2 ms 1748 KB Output is correct
24 Correct 2 ms 1856 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 8 ms 372 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 320 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 3 ms 1856 KB Output is correct
31 Correct 2 ms 1876 KB Output is correct
32 Correct 2 ms 1724 KB Output is correct
33 Correct 2 ms 1748 KB Output is correct
34 Correct 2 ms 1728 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 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 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 316 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 1748 KB Output is correct
11 Correct 2 ms 1876 KB Output is correct
12 Correct 1 ms 1748 KB Output is correct
13 Correct 1 ms 1748 KB Output is correct
14 Correct 2 ms 1748 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 6 ms 340 KB Output is correct
17 Correct 2 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 2 ms 1876 KB Output is correct
21 Correct 2 ms 1748 KB Output is correct
22 Correct 2 ms 1748 KB Output is correct
23 Correct 2 ms 1748 KB Output is correct
24 Correct 2 ms 1856 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 8 ms 372 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 320 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 3 ms 1856 KB Output is correct
31 Correct 2 ms 1876 KB Output is correct
32 Correct 2 ms 1724 KB Output is correct
33 Correct 2 ms 1748 KB Output is correct
34 Correct 2 ms 1728 KB Output is correct
35 Correct 34 ms 5696 KB Output is correct
36 Correct 38 ms 5848 KB Output is correct
37 Correct 36 ms 5684 KB Output is correct
38 Correct 31 ms 5932 KB Output is correct
39 Correct 37 ms 6512 KB Output is correct
40 Correct 107 ms 38720 KB Output is correct
41 Correct 91 ms 37948 KB Output is correct
42 Correct 81 ms 38092 KB Output is correct
43 Correct 94 ms 37872 KB Output is correct
44 Correct 97 ms 37920 KB Output is correct
45 Correct 44 ms 10188 KB Output is correct
46 Correct 39 ms 6344 KB Output is correct
47 Correct 50 ms 13576 KB Output is correct
48 Correct 69 ms 22824 KB Output is correct
49 Correct 35 ms 7248 KB Output is correct
50 Correct 66 ms 7160 KB Output is correct