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Submission #928969

# Submission time Handle Problem Language Result Execution time Memory
928969 2024-02-17T10:54:08 Z THXuan Knapsack (NOI18_knapsack) C++14
100 / 100
 81 ms 36704 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <queue>
#include <set>
#include <map>
#define INF 1e9
using namespace std;
typedef long long ll;

vector<ll>sum[2005];
ll dp[2005][2005];

void solve()
{
	ll s, n; cin >> s >> n;
	vector<pair<ll, pair<ll, ll>>>a;
	for (int i = 1; i <= n; i++) {
		ll v, w, k; cin >> v >> w >> k;
		a.push_back({ v, {w, k} });
	}
	sort(a.rbegin(), a.rend());
	for (int i = 1; i <= s; i++) sum[i].push_back(0);
	for (int i = 0; i < n; i++) {
		ll v = a[i].first; ll w = a[i].second.first; ll k = a[i].second.second;
		int sz = sum[w].size();
		if (sz >= (s / w) + 1) continue;
		for (int j = sz; j < min(sz + k, (s / w) + 1); j++) {
			sum[w].push_back(sum[w][j - 1] + v);
		}
	}
	for (int i = 1; i <= s; i++) {
		for (int j = 0; j <= s; j++) {
			for (int k = 0; k < sum[i].size(); k++) {
				if (j - (k * i) >= 0) dp[i][j] = max(dp[i][j], dp[i - 1][j - (k * i)] + sum[i][k]);
			}
		}
	}
	cout << dp[s][s] << "\n";
}

int main()
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	int t = 1;// cin>>t;
	while (t--) solve();
	return 0;
}

Compilation message

knapsack.cpp: In function 'void solve()':
knapsack.cpp:34:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   34 |    for (int k = 0; k < sum[i].size(); k++) {
      |                    ~~^~~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 17244 KB Output is correct
2 Correct 10 ms 17244 KB Output is correct
3 Correct 8 ms 17240 KB Output is correct
4 Correct 8 ms 17244 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 17 ms 31836 KB Output is correct
3 Correct 17 ms 31848 KB Output is correct
4 Correct 16 ms 31836 KB Output is correct
5 Correct 17 ms 31688 KB Output is correct
6 Correct 17 ms 31760 KB Output is correct
7 Correct 17 ms 31836 KB Output is correct
8 Correct 17 ms 31836 KB Output is correct
9 Correct 17 ms 31828 KB Output is correct
10 Correct 21 ms 31828 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 17 ms 31836 KB Output is correct
3 Correct 17 ms 31848 KB Output is correct
4 Correct 16 ms 31836 KB Output is correct
5 Correct 17 ms 31688 KB Output is correct
6 Correct 17 ms 31760 KB Output is correct
7 Correct 17 ms 31836 KB Output is correct
8 Correct 17 ms 31836 KB Output is correct
9 Correct 17 ms 31828 KB Output is correct
10 Correct 21 ms 31828 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 18 ms 31836 KB Output is correct
13 Correct 17 ms 31836 KB Output is correct
14 Correct 17 ms 31768 KB Output is correct
15 Correct 17 ms 31836 KB Output is correct
16 Correct 17 ms 31836 KB Output is correct
17 Correct 20 ms 31832 KB Output is correct
18 Correct 17 ms 31836 KB Output is correct
19 Correct 17 ms 31832 KB Output is correct
20 Correct 17 ms 31836 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 17244 KB Output is correct
2 Correct 10 ms 17244 KB Output is correct
3 Correct 8 ms 17240 KB Output is correct
4 Correct 8 ms 17244 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 17 ms 31836 KB Output is correct
7 Correct 17 ms 31848 KB Output is correct
8 Correct 16 ms 31836 KB Output is correct
9 Correct 17 ms 31688 KB Output is correct
10 Correct 17 ms 31760 KB Output is correct
11 Correct 17 ms 31836 KB Output is correct
12 Correct 17 ms 31836 KB Output is correct
13 Correct 17 ms 31828 KB Output is correct
14 Correct 21 ms 31828 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 18 ms 31836 KB Output is correct
17 Correct 17 ms 31836 KB Output is correct
18 Correct 17 ms 31768 KB Output is correct
19 Correct 17 ms 31836 KB Output is correct
20 Correct 17 ms 31836 KB Output is correct
21 Correct 20 ms 31832 KB Output is correct
22 Correct 17 ms 31836 KB Output is correct
23 Correct 17 ms 31832 KB Output is correct
24 Correct 17 ms 31836 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 21 ms 31728 KB Output is correct
27 Correct 17 ms 31836 KB Output is correct
28 Correct 17 ms 31832 KB Output is correct
29 Correct 21 ms 31888 KB Output is correct
30 Correct 18 ms 31836 KB Output is correct
31 Correct 17 ms 31836 KB Output is correct
32 Correct 22 ms 31728 KB Output is correct
33 Correct 18 ms 31988 KB Output is correct
34 Correct 17 ms 31836 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 17244 KB Output is correct
2 Correct 10 ms 17244 KB Output is correct
3 Correct 8 ms 17240 KB Output is correct
4 Correct 8 ms 17244 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 17 ms 31836 KB Output is correct
7 Correct 17 ms 31848 KB Output is correct
8 Correct 16 ms 31836 KB Output is correct
9 Correct 17 ms 31688 KB Output is correct
10 Correct 17 ms 31760 KB Output is correct
11 Correct 17 ms 31836 KB Output is correct
12 Correct 17 ms 31836 KB Output is correct
13 Correct 17 ms 31828 KB Output is correct
14 Correct 21 ms 31828 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 18 ms 31836 KB Output is correct
17 Correct 17 ms 31836 KB Output is correct
18 Correct 17 ms 31768 KB Output is correct
19 Correct 17 ms 31836 KB Output is correct
20 Correct 17 ms 31836 KB Output is correct
21 Correct 20 ms 31832 KB Output is correct
22 Correct 17 ms 31836 KB Output is correct
23 Correct 17 ms 31832 KB Output is correct
24 Correct 17 ms 31836 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 21 ms 31728 KB Output is correct
27 Correct 17 ms 31836 KB Output is correct
28 Correct 17 ms 31832 KB Output is correct
29 Correct 21 ms 31888 KB Output is correct
30 Correct 18 ms 31836 KB Output is correct
31 Correct 17 ms 31836 KB Output is correct
32 Correct 22 ms 31728 KB Output is correct
33 Correct 18 ms 31988 KB Output is correct
34 Correct 17 ms 31836 KB Output is correct
35 Correct 23 ms 5580 KB Output is correct
36 Correct 45 ms 36032 KB Output is correct
37 Correct 53 ms 35204 KB Output is correct
38 Correct 41 ms 35512 KB Output is correct
39 Correct 48 ms 36292 KB Output is correct
40 Correct 81 ms 36660 KB Output is correct
41 Correct 61 ms 35516 KB Output is correct
42 Correct 62 ms 35508 KB Output is correct
43 Correct 73 ms 35560 KB Output is correct
44 Correct 73 ms 35616 KB Output is correct
45 Correct 48 ms 36280 KB Output is correct
46 Correct 46 ms 36108 KB Output is correct
47 Correct 50 ms 36264 KB Output is correct
48 Correct 59 ms 36220 KB Output is correct
49 Correct 45 ms 36028 KB Output is correct
50 Correct 69 ms 36704 KB Output is correct