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Submission #611693

# Submission time Handle Problem Language Result Execution time Memory
611693 2022-07-29T06:38:54 Z abcisosm5 Knapsack (NOI18_knapsack) C++17
100 / 100
 65 ms 3832 KB 
#include <bits/stdc++.h>
using namespace std;

int S, N;
const int MS = 2001;
vector<pair<int,int>> items[MS]; //items[w] contains {-v,k}
vector<pair<int,int>> final_items; //contains {w, v}
int dp[MS] = {};

int main(){
	cin.tie(0)->sync_with_stdio(0);

	cin >> S >> N;

	for(int i = 0; i < N; i++){
		int v, w, k; cin >> v >> w >> k;
		if(w <= S){
			items[w].push_back({-v,k});
		}
	}

	//we only need to consider the first floor(S/w) items of weight w
	for(int w = 0; w <= S; w++){
		sort(items[w].begin(), items[w].end());
		int total = 0; 
		for(pair<int,int> p : items[w]){
			int v = -p.first; int k = p.second;
			if(total + k < S/w){
				for(int i = 0; i < k; i++) final_items.push_back({w, v});
				total += k;
			} else if(total < S/w){
				for(int i = 0; i < S/w-total; i++) final_items.push_back({w, v});
				break;
			}
		}
	}

	//now, a classic knapsack dp:
	for(pair<int,int> p : final_items){
		int w = p.first; int v = p.second;
		for(int i = S; i >= w; i--){
			dp[i] = max(dp[i], dp[i-w] + v);
		}
	}

	cout << dp[S];

	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 1 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 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 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 340 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 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 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 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 2 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 368 KB Output is correct
15 Correct 1 ms 368 KB Output is correct
16 Correct 1 ms 372 KB Output is correct
17 Correct 1 ms 372 KB Output is correct
18 Correct 1 ms 376 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 376 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 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 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 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 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 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 368 KB Output is correct
19 Correct 1 ms 368 KB Output is correct
20 Correct 1 ms 372 KB Output is correct
21 Correct 1 ms 372 KB Output is correct
22 Correct 1 ms 376 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 376 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 1 ms 340 KB Output is correct
30 Correct 2 ms 376 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
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 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 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 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 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 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 368 KB Output is correct
19 Correct 1 ms 368 KB Output is correct
20 Correct 1 ms 372 KB Output is correct
21 Correct 1 ms 372 KB Output is correct
22 Correct 1 ms 376 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 376 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 1 ms 340 KB Output is correct
30 Correct 2 ms 376 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 26 ms 2388 KB Output is correct
36 Correct 33 ms 2516 KB Output is correct
37 Correct 29 ms 2420 KB Output is correct
38 Correct 28 ms 2632 KB Output is correct
39 Correct 36 ms 3416 KB Output is correct
40 Correct 62 ms 3832 KB Output is correct
41 Correct 38 ms 2940 KB Output is correct
42 Correct 41 ms 3052 KB Output is correct
43 Correct 65 ms 3120 KB Output is correct
44 Correct 49 ms 3112 KB Output is correct
45 Correct 36 ms 3608 KB Output is correct
46 Correct 33 ms 3224 KB Output is correct
47 Correct 40 ms 3740 KB Output is correct
48 Correct 54 ms 3660 KB Output is correct
49 Correct 44 ms 3416 KB Output is correct
50 Correct 45 ms 3404 KB Output is correct