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Submission #633196

# Submission time Handle Problem Language Result Execution time Memory
633196 2022-08-21T21:14:10 Z izanbf Knapsack (NOI18_knapsack) C++14
100 / 100
 74 ms 18040 KB 
#include <bits/stdc++.h>
using namespace std;

#define D(x) cerr << #x << " = " << x << ", "

using vi = vector<int>;
using vvi = vector<vi>;

struct Elem {
	int v, w, k;

	int order() const {
		return -v;
	}
};

bool operator<(const Elem& lhs, const Elem& rhs) {
	return lhs.order() < rhs.order();
}

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);

	int s, n;
	cin >> s >> n;
	vector<vector<Elem>> elems(s+1);
	for (int i = 0; i < n; ++i) {
		Elem e;
		cin >> e.v >> e.w >> e.k;
		elems[e.w].push_back(e);
	}

	for (int w = 1; w <= s; ++w) {
		sort(elems[w].begin(), elems[w].end());
	}

	vvi dp(s+1, vi(s+1));
	int ans = 0;

	for (int w = 1; w <= s; ++w) {
		for (int j = 0; j <= s; ++j) {
			dp[w][j] = dp[w-1][j];
			int acum = 0;
			int space = 0;
			for (Elem e : elems[w]) {
				for (int it = 0; it < e.k; ++it) {
					acum += e.v;
					space += w;
					if (space > j) break;
					dp[w][j] = max(dp[w][j], dp[w-1][j-space] + acum);
				}
				if (space > j) break;
			}
		}
		ans = max(ans, dp[w][s]);
	}

	cout << ans << endl;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6356 KB Output is correct
2 Correct 4 ms 6356 KB Output is correct
3 Correct 4 ms 6356 KB Output is correct
4 Correct 4 ms 6356 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 11 ms 16112 KB Output is correct
3 Correct 14 ms 16084 KB Output is correct
4 Correct 11 ms 15956 KB Output is correct
5 Correct 11 ms 15956 KB Output is correct
6 Correct 11 ms 16084 KB Output is correct
7 Correct 12 ms 16108 KB Output is correct
8 Correct 12 ms 15956 KB Output is correct
9 Correct 10 ms 15956 KB Output is correct
10 Correct 11 ms 16084 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 11 ms 16112 KB Output is correct
3 Correct 14 ms 16084 KB Output is correct
4 Correct 11 ms 15956 KB Output is correct
5 Correct 11 ms 15956 KB Output is correct
6 Correct 11 ms 16084 KB Output is correct
7 Correct 12 ms 16108 KB Output is correct
8 Correct 12 ms 15956 KB Output is correct
9 Correct 10 ms 15956 KB Output is correct
10 Correct 11 ms 16084 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 12 ms 16056 KB Output is correct
13 Correct 14 ms 16068 KB Output is correct
14 Correct 11 ms 16116 KB Output is correct
15 Correct 14 ms 16048 KB Output is correct
16 Correct 12 ms 16084 KB Output is correct
17 Correct 12 ms 15956 KB Output is correct
18 Correct 11 ms 16084 KB Output is correct
19 Correct 11 ms 16084 KB Output is correct
20 Correct 11 ms 15956 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6356 KB Output is correct
2 Correct 4 ms 6356 KB Output is correct
3 Correct 4 ms 6356 KB Output is correct
4 Correct 4 ms 6356 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 11 ms 16112 KB Output is correct
7 Correct 14 ms 16084 KB Output is correct
8 Correct 11 ms 15956 KB Output is correct
9 Correct 11 ms 15956 KB Output is correct
10 Correct 11 ms 16084 KB Output is correct
11 Correct 12 ms 16108 KB Output is correct
12 Correct 12 ms 15956 KB Output is correct
13 Correct 10 ms 15956 KB Output is correct
14 Correct 11 ms 16084 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 12 ms 16056 KB Output is correct
17 Correct 14 ms 16068 KB Output is correct
18 Correct 11 ms 16116 KB Output is correct
19 Correct 14 ms 16048 KB Output is correct
20 Correct 12 ms 16084 KB Output is correct
21 Correct 12 ms 15956 KB Output is correct
22 Correct 11 ms 16084 KB Output is correct
23 Correct 11 ms 16084 KB Output is correct
24 Correct 11 ms 15956 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 17 ms 15988 KB Output is correct
27 Correct 11 ms 16084 KB Output is correct
28 Correct 11 ms 16084 KB Output is correct
29 Correct 10 ms 16084 KB Output is correct
30 Correct 12 ms 16084 KB Output is correct
31 Correct 11 ms 16084 KB Output is correct
32 Correct 11 ms 16084 KB Output is correct
33 Correct 13 ms 16048 KB Output is correct
34 Correct 12 ms 16096 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6356 KB Output is correct
2 Correct 4 ms 6356 KB Output is correct
3 Correct 4 ms 6356 KB Output is correct
4 Correct 4 ms 6356 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 11 ms 16112 KB Output is correct
7 Correct 14 ms 16084 KB Output is correct
8 Correct 11 ms 15956 KB Output is correct
9 Correct 11 ms 15956 KB Output is correct
10 Correct 11 ms 16084 KB Output is correct
11 Correct 12 ms 16108 KB Output is correct
12 Correct 12 ms 15956 KB Output is correct
13 Correct 10 ms 15956 KB Output is correct
14 Correct 11 ms 16084 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 12 ms 16056 KB Output is correct
17 Correct 14 ms 16068 KB Output is correct
18 Correct 11 ms 16116 KB Output is correct
19 Correct 14 ms 16048 KB Output is correct
20 Correct 12 ms 16084 KB Output is correct
21 Correct 12 ms 15956 KB Output is correct
22 Correct 11 ms 16084 KB Output is correct
23 Correct 11 ms 16084 KB Output is correct
24 Correct 11 ms 15956 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 17 ms 15988 KB Output is correct
27 Correct 11 ms 16084 KB Output is correct
28 Correct 11 ms 16084 KB Output is correct
29 Correct 10 ms 16084 KB Output is correct
30 Correct 12 ms 16084 KB Output is correct
31 Correct 11 ms 16084 KB Output is correct
32 Correct 11 ms 16084 KB Output is correct
33 Correct 13 ms 16048 KB Output is correct
34 Correct 12 ms 16096 KB Output is correct
35 Correct 24 ms 1952 KB Output is correct
36 Correct 47 ms 17288 KB Output is correct
37 Correct 40 ms 17224 KB Output is correct
38 Correct 35 ms 17256 KB Output is correct
39 Correct 42 ms 17120 KB Output is correct
40 Correct 74 ms 17808 KB Output is correct
41 Correct 64 ms 17852 KB Output is correct
42 Correct 58 ms 17832 KB Output is correct
43 Correct 67 ms 17876 KB Output is correct
44 Correct 54 ms 17788 KB Output is correct
45 Correct 41 ms 17832 KB Output is correct
46 Correct 35 ms 17212 KB Output is correct
47 Correct 51 ms 18040 KB Output is correct
48 Correct 49 ms 17800 KB Output is correct
49 Correct 34 ms 17612 KB Output is correct
50 Correct 48 ms 17400 KB Output is correct