#include <bits/stdc++.h>
using namespace std;
using ll = long long;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int s,n;
cin >> s >> n;
vector<vector<pair<int, int>>> items(s+1);
for(int i = 0; i < n; i++) {
int value, weight, number;
cin >> value >> weight >> number;
items[weight].push_back(make_pair(value, number));
}
for(int i = 1; i <= s; i++) {
sort(begin(items[i]), end(items[i]), [](const pair<int, int> a, const pair<int, int> b) -> bool{
return a.first>b.first;
});
}
ll arr[s+1][s+1];
//arr[a][b]=x: first a weights, b total weight, x max value
for(int i = 0; i <= s; i ++) {
for(int j = 0; j <= s; j++) {
arr[i][j]=0;
}
}
for(int i = 1; i <= s; i++) {
for(int j = 0; j <= s; j++) {
arr[i][j]=max(arr[i-1][j], arr[i][j]);
if(items[i].size()==0) continue;
int weight = j;
ll value = arr[i-1][j];
int itemsUsed = 0;
int index = 0;
while(weight+i<=s) {
itemsUsed++;
weight+=i;
value+=items[i][index].first;
arr[i][weight]=max(arr[i][weight], value);
if(itemsUsed==items[i][index].second) {
itemsUsed=0;
index++;
if(index==items[i].size()) {
break;
}
}
}
}
}
ll ans = 0;
for(int i = 0; i <= s; i++) {
ans=max(ans, arr[s][i]);
}
cout << ans << endl;
}
Compilation message
knapsack.cpp: In function 'int main()':
knapsack.cpp:44:29: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
44 | if(index==items[i].size()) {
| ~~~~~^~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
12244 KB |
Output is correct |
2 |
Correct |
6 ms |
12244 KB |
Output is correct |
3 |
Correct |
7 ms |
12260 KB |
Output is correct |
4 |
Correct |
7 ms |
12256 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
18 ms |
31700 KB |
Output is correct |
3 |
Correct |
18 ms |
31620 KB |
Output is correct |
4 |
Correct |
17 ms |
31572 KB |
Output is correct |
5 |
Correct |
17 ms |
31456 KB |
Output is correct |
6 |
Correct |
20 ms |
31592 KB |
Output is correct |
7 |
Correct |
20 ms |
31560 KB |
Output is correct |
8 |
Correct |
21 ms |
31552 KB |
Output is correct |
9 |
Correct |
17 ms |
31612 KB |
Output is correct |
10 |
Correct |
18 ms |
31672 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
18 ms |
31700 KB |
Output is correct |
3 |
Correct |
18 ms |
31620 KB |
Output is correct |
4 |
Correct |
17 ms |
31572 KB |
Output is correct |
5 |
Correct |
17 ms |
31456 KB |
Output is correct |
6 |
Correct |
20 ms |
31592 KB |
Output is correct |
7 |
Correct |
20 ms |
31560 KB |
Output is correct |
8 |
Correct |
21 ms |
31552 KB |
Output is correct |
9 |
Correct |
17 ms |
31612 KB |
Output is correct |
10 |
Correct |
18 ms |
31672 KB |
Output is correct |
11 |
Correct |
0 ms |
320 KB |
Output is correct |
12 |
Correct |
19 ms |
31680 KB |
Output is correct |
13 |
Correct |
17 ms |
31552 KB |
Output is correct |
14 |
Correct |
17 ms |
31700 KB |
Output is correct |
15 |
Correct |
18 ms |
31540 KB |
Output is correct |
16 |
Correct |
19 ms |
31548 KB |
Output is correct |
17 |
Correct |
18 ms |
31572 KB |
Output is correct |
18 |
Correct |
18 ms |
31572 KB |
Output is correct |
19 |
Correct |
19 ms |
31700 KB |
Output is correct |
20 |
Correct |
20 ms |
31552 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
12244 KB |
Output is correct |
2 |
Correct |
6 ms |
12244 KB |
Output is correct |
3 |
Correct |
7 ms |
12260 KB |
Output is correct |
4 |
Correct |
7 ms |
12256 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
18 ms |
31700 KB |
Output is correct |
7 |
Correct |
18 ms |
31620 KB |
Output is correct |
8 |
Correct |
17 ms |
31572 KB |
Output is correct |
9 |
Correct |
17 ms |
31456 KB |
Output is correct |
10 |
Correct |
20 ms |
31592 KB |
Output is correct |
11 |
Correct |
20 ms |
31560 KB |
Output is correct |
12 |
Correct |
21 ms |
31552 KB |
Output is correct |
13 |
Correct |
17 ms |
31612 KB |
Output is correct |
14 |
Correct |
18 ms |
31672 KB |
Output is correct |
15 |
Correct |
0 ms |
320 KB |
Output is correct |
16 |
Correct |
19 ms |
31680 KB |
Output is correct |
17 |
Correct |
17 ms |
31552 KB |
Output is correct |
18 |
Correct |
17 ms |
31700 KB |
Output is correct |
19 |
Correct |
18 ms |
31540 KB |
Output is correct |
20 |
Correct |
19 ms |
31548 KB |
Output is correct |
21 |
Correct |
18 ms |
31572 KB |
Output is correct |
22 |
Correct |
18 ms |
31572 KB |
Output is correct |
23 |
Correct |
19 ms |
31700 KB |
Output is correct |
24 |
Correct |
20 ms |
31552 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
19 ms |
31520 KB |
Output is correct |
27 |
Correct |
18 ms |
31620 KB |
Output is correct |
28 |
Correct |
18 ms |
31532 KB |
Output is correct |
29 |
Correct |
17 ms |
31640 KB |
Output is correct |
30 |
Correct |
21 ms |
31680 KB |
Output is correct |
31 |
Correct |
19 ms |
31620 KB |
Output is correct |
32 |
Correct |
21 ms |
31640 KB |
Output is correct |
33 |
Correct |
19 ms |
31572 KB |
Output is correct |
34 |
Correct |
20 ms |
31648 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
12244 KB |
Output is correct |
2 |
Correct |
6 ms |
12244 KB |
Output is correct |
3 |
Correct |
7 ms |
12260 KB |
Output is correct |
4 |
Correct |
7 ms |
12256 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
18 ms |
31700 KB |
Output is correct |
7 |
Correct |
18 ms |
31620 KB |
Output is correct |
8 |
Correct |
17 ms |
31572 KB |
Output is correct |
9 |
Correct |
17 ms |
31456 KB |
Output is correct |
10 |
Correct |
20 ms |
31592 KB |
Output is correct |
11 |
Correct |
20 ms |
31560 KB |
Output is correct |
12 |
Correct |
21 ms |
31552 KB |
Output is correct |
13 |
Correct |
17 ms |
31612 KB |
Output is correct |
14 |
Correct |
18 ms |
31672 KB |
Output is correct |
15 |
Correct |
0 ms |
320 KB |
Output is correct |
16 |
Correct |
19 ms |
31680 KB |
Output is correct |
17 |
Correct |
17 ms |
31552 KB |
Output is correct |
18 |
Correct |
17 ms |
31700 KB |
Output is correct |
19 |
Correct |
18 ms |
31540 KB |
Output is correct |
20 |
Correct |
19 ms |
31548 KB |
Output is correct |
21 |
Correct |
18 ms |
31572 KB |
Output is correct |
22 |
Correct |
18 ms |
31572 KB |
Output is correct |
23 |
Correct |
19 ms |
31700 KB |
Output is correct |
24 |
Correct |
20 ms |
31552 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
19 ms |
31520 KB |
Output is correct |
27 |
Correct |
18 ms |
31620 KB |
Output is correct |
28 |
Correct |
18 ms |
31532 KB |
Output is correct |
29 |
Correct |
17 ms |
31640 KB |
Output is correct |
30 |
Correct |
21 ms |
31680 KB |
Output is correct |
31 |
Correct |
19 ms |
31620 KB |
Output is correct |
32 |
Correct |
21 ms |
31640 KB |
Output is correct |
33 |
Correct |
19 ms |
31572 KB |
Output is correct |
34 |
Correct |
20 ms |
31648 KB |
Output is correct |
35 |
Correct |
21 ms |
2336 KB |
Output is correct |
36 |
Correct |
43 ms |
33816 KB |
Output is correct |
37 |
Correct |
41 ms |
33584 KB |
Output is correct |
38 |
Correct |
39 ms |
33892 KB |
Output is correct |
39 |
Correct |
42 ms |
34544 KB |
Output is correct |
40 |
Correct |
58 ms |
34924 KB |
Output is correct |
41 |
Correct |
50 ms |
34096 KB |
Output is correct |
42 |
Correct |
50 ms |
34152 KB |
Output is correct |
43 |
Correct |
54 ms |
34160 KB |
Output is correct |
44 |
Correct |
56 ms |
33968 KB |
Output is correct |
45 |
Correct |
44 ms |
35028 KB |
Output is correct |
46 |
Correct |
38 ms |
34448 KB |
Output is correct |
47 |
Correct |
44 ms |
34924 KB |
Output is correct |
48 |
Correct |
50 ms |
34920 KB |
Output is correct |
49 |
Correct |
36 ms |
34740 KB |
Output is correct |
50 |
Correct |
49 ms |
34568 KB |
Output is correct |