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Submission #813094

# Submission time Handle Problem Language Result Execution time Memory
813094 2023-08-07T13:27:48 Z AliVu Knapsack (NOI18_knapsack) C++17
73 / 100
 1000 ms 17784 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define el '\n'
const int maxn = 2e3 + 3, N = 1e5 + 5;
int dp[2][maxn];
vector<pair<int, int>> a;

void Solve() {
    int S, n; cin >> S >> n;
    for(int i = 1; i <= n; i++) {
        int v, w, k; cin >> v >> w >> k;
        int p = 1;
        while(p < k) {
            a.push_back({v * p, w * p});
            k -= p;
            p <<= 1;
        }
        if(k) a.push_back({v * k, w * k});
    }
    for(int i = 0; i < 2; i++) for(int j = 0; j < maxn; j++) {
        dp[i][j] = -1;
        if(j == 0) dp[i][j] = 0;
    }

    for(int k = 0; k < a.size(); k++) {
        int i = k % 2;
        for(int j = 0; j < maxn; j++) {
            if(dp[i][j] != -1 && j + a[k].second < maxn)
                dp[1 - i][j + a[k].second] = max(dp[1 - i][j + a[k].second], dp[i][j] + a[k].first);
            dp[1 - i][j] = max(dp[1 - i][j], dp[i][j]);
        }
    }

    int ans = 0;
    for(int i = 1; i <= S; i++) {
        ans = max({ans, dp[0][i], dp[1][i]});
    }

    cout << ans;
}
signed main() {
    ios_base::sync_with_stdio(false);cin.tie(0);
    int t = 1;// cin >> t;
    while(t--) Solve();
}

Compilation message

knapsack.cpp: In function 'void Solve()':
knapsack.cpp:26:22: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |     for(int k = 0; k < a.size(); k++) {
      |                    ~~^~~~~~~~~~

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 1 ms 340 KB Output is correct
2 Correct 1 ms 328 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 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 328 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 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 320 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 340 KB Output is correct
15 Correct 1 ms 316 KB Output is correct
16 Correct 1 ms 328 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 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 1 ms 340 KB Output is correct
6 Correct 1 ms 328 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 324 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 320 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 316 KB Output is correct
20 Correct 1 ms 328 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 340 KB Output is correct
26 Correct 4 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 5 ms 468 KB Output is correct
30 Correct 6 ms 468 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct

Subtask #5
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 1 ms 340 KB Output is correct
6 Correct 1 ms 328 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 324 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 320 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 316 KB Output is correct
20 Correct 1 ms 328 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 340 KB Output is correct
26 Correct 4 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 5 ms 468 KB Output is correct
30 Correct 6 ms 468 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 390 ms 3392 KB Output is correct
36 Execution timed out 1084 ms 17784 KB Time limit exceeded
37 Halted 0 ms 0 KB -