Submission #976177

# Submission time Handle Problem Language Result Execution time Memory
976177 2024-05-06T09:12:20 Z Irate Knapsack (NOI18_knapsack) C++17
73 / 100
158 ms 262144 KB
#include <bits/stdc++.h>
using namespace std;
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int S, n;
    cin >> S >> n;
    vector<pair<long long, int>> v = {{0, 0}};
    for(int i = 1;i <= n;++i){
        int val, w, k;
        cin >> val >> w >> k;
        k = min(k, S / w);
        for(int j = 0;(1 << j) <= k;++j){
            v.push_back({(1LL << j) * val, (1 << j) * w});
            k -= (1 << j);
        }
        if(k)v.push_back({1LL * k * val, k * w});
    }
    n = (int)v.size() - 1;
    vector<vector<long long>> dp(n + 1, vector<long long>(S + 1, -1e18));
    dp[0][0] = 0;
    for(int i = 1;i <= n;++i){
        for(int j = 0;j <= S;++j){
            dp[i][j] = dp[i - 1][j];
            if(j - v[i].second >= 0)dp[i][j] = max(dp[i][j], dp[i - 1][j - v[i].second] + v[i].first);
        }
    }
    long long mx = 0;
    for(int i = 0;i <= S;++i){
        mx = max(mx, dp[n][i]);
    }
    cout << mx << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 1960 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 2 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 2 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 2 ms 1884 KB Output is correct
10 Correct 1 ms 1884 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 1960 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 2 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 2 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 2 ms 1884 KB Output is correct
10 Correct 1 ms 1884 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 3 ms 6492 KB Output is correct
13 Correct 1 ms 1884 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 1 ms 1884 KB Output is correct
16 Correct 2 ms 2908 KB Output is correct
17 Correct 1 ms 1884 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 2 ms 2652 KB Output is correct
20 Correct 2 ms 2652 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 1960 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 2 ms 1884 KB Output is correct
10 Correct 1 ms 1884 KB Output is correct
11 Correct 2 ms 1884 KB Output is correct
12 Correct 1 ms 1884 KB Output is correct
13 Correct 2 ms 1884 KB Output is correct
14 Correct 1 ms 1884 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 6492 KB Output is correct
17 Correct 1 ms 1884 KB Output is correct
18 Correct 2 ms 1884 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
20 Correct 2 ms 2908 KB Output is correct
21 Correct 1 ms 1884 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 2 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 9 ms 16144 KB Output is correct
27 Correct 1 ms 1884 KB Output is correct
28 Correct 1 ms 1884 KB Output is correct
29 Correct 1 ms 1884 KB Output is correct
30 Correct 2 ms 3676 KB Output is correct
31 Correct 2 ms 1884 KB Output is correct
32 Correct 2 ms 2396 KB Output is correct
33 Correct 2 ms 2396 KB Output is correct
34 Correct 2 ms 2652 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 1960 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 2 ms 1884 KB Output is correct
10 Correct 1 ms 1884 KB Output is correct
11 Correct 2 ms 1884 KB Output is correct
12 Correct 1 ms 1884 KB Output is correct
13 Correct 2 ms 1884 KB Output is correct
14 Correct 1 ms 1884 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 6492 KB Output is correct
17 Correct 1 ms 1884 KB Output is correct
18 Correct 2 ms 1884 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
20 Correct 2 ms 2908 KB Output is correct
21 Correct 1 ms 1884 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 2 ms 2652 KB Output is correct
24 Correct 2 ms 2652 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 9 ms 16144 KB Output is correct
27 Correct 1 ms 1884 KB Output is correct
28 Correct 1 ms 1884 KB Output is correct
29 Correct 1 ms 1884 KB Output is correct
30 Correct 2 ms 3676 KB Output is correct
31 Correct 2 ms 1884 KB Output is correct
32 Correct 2 ms 2396 KB Output is correct
33 Correct 2 ms 2396 KB Output is correct
34 Correct 2 ms 2652 KB Output is correct
35 Correct 24 ms 7292 KB Output is correct
36 Runtime error 158 ms 262144 KB Execution killed with signal 9
37 Halted 0 ms 0 KB -