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Submission #634113

# Submission time Handle Problem Language Result Execution time Memory
634113 2022-08-23T20:17:34 Z omeganot Knapsack (NOI18_knapsack) C++14
100 / 100
 104 ms 19680 KB 
#include <bits/stdc++.h>

using namespace std;

using ll = long long;
const ll mod = 1e9+7;
const int inf = 1e9; const ll infll = 1e18;

int s; int n;

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
	cin >> s >> n;
	vector<vector<pair<int,int>>> a(s+1);
	vector<vector<int>> b(s+1,{0});
	for(int i=0;i<n;i++) {
		int v; int w; int k;
		cin >> v >> w >> k;
		a[w].push_back({v,k});
	}
	for(int i=1;i<=s;i++) {
		sort(a[i].begin(),a[i].end(),greater<pair<int,int>>());
		int j = 0;
		while(j<a[i].size()&&b[i].size()<=s+1) {
			b[i].push_back(a[i][j].first+b[i].back());
			a[i][j].second--;
			if(!a[i][j].second) {
				j++;
			}
		} 
	}
	vector<ll> dp(s+1);
	vector<ll> dp2(s+1);
	for(int i=1;i<=s;i++) {
		for(int j=s;j>=0;j--) {
			dp2[j] = max(dp[j],dp2[j]);
			for(int k=1;k*i<=s&&k<b[i].size();k++) {
				if(j+i*k<=s) {
					dp2[j+i*k] = max(dp2[j+i*k],dp[j]+b[i][k]); 
				}
			}
		}
		swap(dp,dp2);
		fill(dp2.begin(),dp2.end(),0);
	}
	ll ans = 0;
	for(int i=1;i<=s;i++) {
		ans = max(ans,dp[i]);
	}
	cout << ans << "\n";
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:25:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   25 |   while(j<a[i].size()&&b[i].size()<=s+1) {
      |         ~^~~~~~~~~~~~
knapsack.cpp:25:35: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   25 |   while(j<a[i].size()&&b[i].size()<=s+1) {
      |                        ~~~~~~~~~~~^~~~~
knapsack.cpp:38:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   38 |    for(int k=1;k*i<=s&&k<b[i].size();k++) {
      |                        ~^~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 340 KB Output is correct
2 Correct 3 ms 452 KB Output is correct
3 Correct 5 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 8 ms 468 KB Output is correct
3 Correct 8 ms 508 KB Output is correct
4 Correct 12 ms 504 KB Output is correct
5 Correct 6 ms 468 KB Output is correct
6 Correct 8 ms 444 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 12 ms 468 KB Output is correct
9 Correct 8 ms 512 KB Output is correct
10 Correct 10 ms 444 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 8 ms 468 KB Output is correct
3 Correct 8 ms 508 KB Output is correct
4 Correct 12 ms 504 KB Output is correct
5 Correct 6 ms 468 KB Output is correct
6 Correct 8 ms 444 KB Output is correct
7 Correct 8 ms 468 KB Output is correct
8 Correct 12 ms 468 KB Output is correct
9 Correct 8 ms 512 KB Output is correct
10 Correct 10 ms 444 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 10 ms 520 KB Output is correct
13 Correct 8 ms 508 KB Output is correct
14 Correct 7 ms 512 KB Output is correct
15 Correct 42 ms 488 KB Output is correct
16 Correct 8 ms 468 KB Output is correct
17 Correct 9 ms 440 KB Output is correct
18 Correct 7 ms 468 KB Output is correct
19 Correct 8 ms 468 KB Output is correct
20 Correct 8 ms 468 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 340 KB Output is correct
2 Correct 3 ms 452 KB Output is correct
3 Correct 5 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 8 ms 468 KB Output is correct
7 Correct 8 ms 508 KB Output is correct
8 Correct 12 ms 504 KB Output is correct
9 Correct 6 ms 468 KB Output is correct
10 Correct 8 ms 444 KB Output is correct
11 Correct 8 ms 468 KB Output is correct
12 Correct 12 ms 468 KB Output is correct
13 Correct 8 ms 512 KB Output is correct
14 Correct 10 ms 444 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 10 ms 520 KB Output is correct
17 Correct 8 ms 508 KB Output is correct
18 Correct 7 ms 512 KB Output is correct
19 Correct 42 ms 488 KB Output is correct
20 Correct 8 ms 468 KB Output is correct
21 Correct 9 ms 440 KB Output is correct
22 Correct 7 ms 468 KB Output is correct
23 Correct 8 ms 468 KB Output is correct
24 Correct 8 ms 468 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 12 ms 468 KB Output is correct
27 Correct 7 ms 508 KB Output is correct
28 Correct 8 ms 448 KB Output is correct
29 Correct 7 ms 560 KB Output is correct
30 Correct 11 ms 1236 KB Output is correct
31 Correct 8 ms 468 KB Output is correct
32 Correct 8 ms 468 KB Output is correct
33 Correct 8 ms 512 KB Output is correct
34 Correct 7 ms 468 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 340 KB Output is correct
2 Correct 3 ms 452 KB Output is correct
3 Correct 5 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 8 ms 468 KB Output is correct
7 Correct 8 ms 508 KB Output is correct
8 Correct 12 ms 504 KB Output is correct
9 Correct 6 ms 468 KB Output is correct
10 Correct 8 ms 444 KB Output is correct
11 Correct 8 ms 468 KB Output is correct
12 Correct 12 ms 468 KB Output is correct
13 Correct 8 ms 512 KB Output is correct
14 Correct 10 ms 444 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 10 ms 520 KB Output is correct
17 Correct 8 ms 508 KB Output is correct
18 Correct 7 ms 512 KB Output is correct
19 Correct 42 ms 488 KB Output is correct
20 Correct 8 ms 468 KB Output is correct
21 Correct 9 ms 440 KB Output is correct
22 Correct 7 ms 468 KB Output is correct
23 Correct 8 ms 468 KB Output is correct
24 Correct 8 ms 468 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 12 ms 468 KB Output is correct
27 Correct 7 ms 508 KB Output is correct
28 Correct 8 ms 448 KB Output is correct
29 Correct 7 ms 560 KB Output is correct
30 Correct 11 ms 1236 KB Output is correct
31 Correct 8 ms 468 KB Output is correct
32 Correct 8 ms 468 KB Output is correct
33 Correct 8 ms 512 KB Output is correct
34 Correct 7 ms 468 KB Output is correct
35 Correct 25 ms 2260 KB Output is correct
36 Correct 38 ms 2676 KB Output is correct
37 Correct 68 ms 2456 KB Output is correct
38 Correct 40 ms 2884 KB Output is correct
39 Correct 44 ms 3568 KB Output is correct
40 Correct 104 ms 19680 KB Output is correct
41 Correct 54 ms 3376 KB Output is correct
42 Correct 55 ms 3800 KB Output is correct
43 Correct 67 ms 4004 KB Output is correct
44 Correct 85 ms 4428 KB Output is correct
45 Correct 46 ms 5300 KB Output is correct
46 Correct 39 ms 3264 KB Output is correct
47 Correct 52 ms 7032 KB Output is correct
48 Correct 72 ms 11752 KB Output is correct
49 Correct 38 ms 3680 KB Output is correct
50 Correct 58 ms 3624 KB Output is correct