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Submission #538010

# Submission time Handle Problem Language Result Execution time Memory
538010 2022-03-16T03:01:54 Z gun_gan Knapsack (NOI18_knapsack) C++17
100 / 100
 72 ms 4892 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int N = 1e5, S = 2e3 + 1;

ll n, s, dp[S];
vector<pair<ll,ll>> W[S];

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

	cin >> s >> n;	
	if(n == 1)
	{
		long long v, w, k;
		cin >> v >> w >> k;
		cout << min(k, s / w) * v;
		return 0;
	}
	for(int i=0;i<n;i++)
	{
		int v, w, k;
		cin >> v >> w >> k;
		W[w].push_back({v, k});
	}
	ll mx = 0;
	for(int i=1;i<=s;i++)
	{
		if(W[i].empty()) continue;
		sort(W[i].rbegin(), W[i].rend());
		for(int j=s;j>=0;j--)
		{
			ll out_ptr = 0, in_taken = 0, all_taken = 0, sm = 0;
			while(out_ptr < W[i].size() && j - (all_taken + 1) * i >= 0)
			{
				all_taken++;
				in_taken++;
				sm += W[i][out_ptr].first;
				dp[j] = max(dp[j], dp[j - all_taken * i] + sm);
				if(in_taken == W[i][out_ptr].second)
				{
					in_taken = 0;
					out_ptr++;
				}
			}	
			mx = max(mx, dp[j]);
		}
	}
	// for(int i=0;i<=s;i++)
	// {
	// 	cout << dp[i] << " ";
	// }
	// cout << '\n';
	cout << mx;
	
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:35:18: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   35 |    while(out_ptr < W[i].size() && j - (all_taken + 1) * i >= 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 0 ms 376 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 372 KB Output is correct
8 Correct 2 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 372 KB Output is correct
8 Correct 2 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 0 ms 340 KB Output is correct
12 Correct 3 ms 372 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 368 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 368 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 2 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 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 376 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 372 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 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 3 ms 372 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 2 ms 368 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 368 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 2 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 372 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 2 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 2 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 0 ms 376 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 372 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 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 3 ms 372 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 2 ms 368 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 368 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 2 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 372 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 2 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 30 ms 3432 KB Output is correct
36 Correct 40 ms 3480 KB Output is correct
37 Correct 33 ms 3432 KB Output is correct
38 Correct 30 ms 3584 KB Output is correct
39 Correct 39 ms 4236 KB Output is correct
40 Correct 72 ms 4752 KB Output is correct
41 Correct 61 ms 3920 KB Output is correct
42 Correct 55 ms 4040 KB Output is correct
43 Correct 61 ms 4020 KB Output is correct
44 Correct 65 ms 3916 KB Output is correct
45 Correct 38 ms 4648 KB Output is correct
46 Correct 44 ms 3988 KB Output is correct
47 Correct 43 ms 4892 KB Output is correct
48 Correct 50 ms 4592 KB Output is correct
49 Correct 36 ms 4580 KB Output is correct
50 Correct 57 ms 4112 KB Output is correct