Submission #952264

# Submission time Handle Problem Language Result Execution time Memory
952264 2024-03-23T12:48:24 Z BF001 Knapsack (NOI18_knapsack) C++17
100 / 100
44 ms 3920 KB
#include <bits/stdc++.h>
using namespace std;

#define M 2005
#define fi first
#define se second
#define log 11

typedef pair<int, int> ii;

int dp[M], n, s, pw[log + 5];
vector<ii> sov[M];
vector<ii> g;

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
        
    pw[0] = 1;
    for (int i = 1; i <= log; i++) pw[i] = pw[i - 1] * 2;

    cin >> s >> n;
	for (int i = 1; i <= n; i++){
		int w, v, k;
		cin >> v >> w >> k;
		sov[w].push_back({v, k});
	}

	for (int i = 1; i <= s; i++){
		sort(sov[i].begin(), sov[i].end(), greater<ii>());
		int gt = s;
		for (auto x : sov[i]){
			int v = x.fi, k = x.se;
			k = min(k, gt / i);
			int d = -1;
			while (pw[d + 1] * i <= gt && pw[d + 1] <= k && gt > 0){
				k -= pw[d + 1];
				gt -= pw[d + 1] * i;
				d++;
				g.push_back({pw[d] * i, pw[d] * v});
			}
			if (k > 0) {
				k = min(k, gt / i);
				gt -= k * i;
				if (k > 0)
				g.push_back({k * i, k * v});
			}
		}
	}

	int res = 0;

	for (auto x : g){
		int w = x.fi;
		int v = x.se;
		for (int j = s; j >= 0; j--){
			if (j >= w) dp[j] = max(dp[j], dp[j - w] + v);
			res = max(res, dp[j]);
		}
	}

	cout << res;	

    return 0;
}     
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 356 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 2 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 504 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 356 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 2 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 2 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 504 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 508 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 356 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 2 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 2 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 504 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 508 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 22 ms 2524 KB Output is correct
36 Correct 24 ms 2896 KB Output is correct
37 Correct 27 ms 2524 KB Output is correct
38 Correct 23 ms 2776 KB Output is correct
39 Correct 27 ms 3552 KB Output is correct
40 Correct 35 ms 3676 KB Output is correct
41 Correct 42 ms 3164 KB Output is correct
42 Correct 44 ms 3156 KB Output is correct
43 Correct 35 ms 2908 KB Output is correct
44 Correct 33 ms 2908 KB Output is correct
45 Correct 30 ms 3920 KB Output is correct
46 Correct 28 ms 3288 KB Output is correct
47 Correct 27 ms 3676 KB Output is correct
48 Correct 29 ms 3676 KB Output is correct
49 Correct 25 ms 3464 KB Output is correct
50 Correct 25 ms 3412 KB Output is correct