oj.uz

Submission #631027

# Submission time Handle Problem Language Result Execution time Memory
631027 2022-08-17T15:02:29 Z thienbao1602 Knapsack (NOI18_knapsack) C++17
100 / 100
 97 ms 36028 KB 
#include    <bits/stdc++.h>
#define ll long long
using namespace std;

const int N = 2005;
const ll inf = -1e15;

int S, n;

void solve()
{
    cin >> S >> n;
    map<ll, vector<pair<ll, ll>>> weight;
    for(int i=0; i<n; i++)
    {
        ll w, val, sl;
        cin >> val >> w >> sl;
        weight[w].push_back({val, sl});
    }

    int id = 1;
    vector<vector<ll>> ans((int)weight.size()+1, vector<ll>(S+1, inf));
    ans[0][0] = 0;
    for(auto [w, items] : weight)
    {
        sort(items.begin(), items.end(), greater<pair<ll, ll>>());
        for(int i=0; i<=S; i++)
        {
            ans[id][i] = ans[id-1][i];
            ll sl = 0, profit = 0, type_at = 0, used = 0;
            while((sl+1) * w <= i && type_at < (ll)items.size())
            {
                sl += 1;
                profit += items[type_at].first;
                if (ans[id-1][i-sl*w] != inf)
                {
                    ans[id][i] = max(ans[id][i], ans[id-1][i-sl*w] + profit);
                }

                used++;
                if (used == (ll)items[type_at].second)
                {
                    used = 0;
                    type_at++;
                }
            }
        }
        id++;
    }

    cout << *max_element(ans.back().begin(), ans.back().end());
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    solve();
    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 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 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 316 KB Output is correct
4 Correct 1 ms 340 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 2 ms 1748 KB Output is correct
9 Correct 2 ms 1748 KB Output is correct
10 Correct 2 ms 1724 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 316 KB Output is correct
4 Correct 1 ms 340 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 2 ms 1748 KB Output is correct
9 Correct 2 ms 1748 KB Output is correct
10 Correct 2 ms 1724 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 3 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 2 ms 1876 KB Output is correct
17 Correct 2 ms 1768 KB Output is correct
18 Correct 2 ms 1748 KB Output is correct
19 Correct 3 ms 1748 KB Output is correct
20 Correct 3 ms 1876 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 0 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 0 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 1 ms 340 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 2 ms 1748 KB Output is correct
13 Correct 2 ms 1748 KB Output is correct
14 Correct 2 ms 1724 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 3 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 2 ms 1876 KB Output is correct
21 Correct 2 ms 1768 KB Output is correct
22 Correct 2 ms 1748 KB Output is correct
23 Correct 3 ms 1748 KB Output is correct
24 Correct 3 ms 1876 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 4 ms 320 KB Output is correct
27 Correct 1 ms 316 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 324 KB Output is correct
30 Correct 3 ms 1876 KB Output is correct
31 Correct 2 ms 1876 KB Output is correct
32 Correct 2 ms 1748 KB Output is correct
33 Correct 2 ms 1748 KB Output is correct
34 Correct 2 ms 1724 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 0 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 0 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 1 ms 340 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 2 ms 1748 KB Output is correct
13 Correct 2 ms 1748 KB Output is correct
14 Correct 2 ms 1724 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 3 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 2 ms 1876 KB Output is correct
21 Correct 2 ms 1768 KB Output is correct
22 Correct 2 ms 1748 KB Output is correct
23 Correct 3 ms 1748 KB Output is correct
24 Correct 3 ms 1876 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 4 ms 320 KB Output is correct
27 Correct 1 ms 316 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 324 KB Output is correct
30 Correct 3 ms 1876 KB Output is correct
31 Correct 2 ms 1876 KB Output is correct
32 Correct 2 ms 1748 KB Output is correct
33 Correct 2 ms 1748 KB Output is correct
34 Correct 2 ms 1724 KB Output is correct
35 Correct 26 ms 4552 KB Output is correct
36 Correct 33 ms 4816 KB Output is correct
37 Correct 35 ms 4616 KB Output is correct
38 Correct 35 ms 3880 KB Output is correct
39 Correct 38 ms 4212 KB Output is correct
40 Correct 97 ms 36028 KB Output is correct
41 Correct 74 ms 35600 KB Output is correct
42 Correct 79 ms 35568 KB Output is correct
43 Correct 95 ms 35580 KB Output is correct
44 Correct 97 ms 35504 KB Output is correct
45 Correct 40 ms 7624 KB Output is correct
46 Correct 34 ms 5316 KB Output is correct
47 Correct 48 ms 10956 KB Output is correct
48 Correct 67 ms 20136 KB Output is correct
49 Correct 32 ms 4900 KB Output is correct
50 Correct 64 ms 4824 KB Output is correct