#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int mod = 1000000007;
const int INF = 1e9;
const int N = (int)1e5+5;
vector<int>adj[N];
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
//
int limit, type_num;
cin >> limit >> type_num;
map<int, vector<pair<int, int>>> by_weight;
for (int t = 0; t < type_num; t++) {
int value, weight, amt;
cin >> value >> weight >> amt;
if (weight <= limit && amt > 0) {
by_weight[weight].push_back({value, amt});
}
}
vector<vector<long long>> best(by_weight.size() + 1, vector<long long>(limit + 1, INT32_MIN));
best[0][0] = 0;
int at = 1;
for (auto& [w, items] : by_weight) {
std::sort(items.begin(), items.end(), std::greater<pair<int, int>>());
for (int i = 0; i <= limit; i++) {
best[at][i] = best[at - 1][i];
int copies = 0, type_at = 0, curr_used = 0;
long long profit = 0;
while ((copies + 1) * w <= i && type_at < items.size()) {
copies++;
profit += items[type_at].first;
if (best[at - 1][i - copies * w] != INT32_MIN) {
best[at][i] = std::max(best[at][i], best[at - 1][i - copies * w] + profit);
}
curr_used++;
if (curr_used == items[type_at].second) {
curr_used = 0;
type_at++;
}
}
}
at++;
}
cout << *std::max_element(best.back().begin(), best.back().end()) << endl;
return 0;
}
Compilation message
knapsack.cpp: In function 'int main()':
knapsack.cpp:33:44: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
33 | while ((copies + 1) * w <= i && type_at < items.size()) {
| ~~~~~~~~^~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2636 KB |
Output is correct |
2 |
Correct |
1 ms |
2636 KB |
Output is correct |
3 |
Correct |
1 ms |
2636 KB |
Output is correct |
4 |
Correct |
2 ms |
2636 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2636 KB |
Output is correct |
2 |
Correct |
2 ms |
2636 KB |
Output is correct |
3 |
Correct |
2 ms |
2636 KB |
Output is correct |
4 |
Correct |
1 ms |
2764 KB |
Output is correct |
5 |
Correct |
1 ms |
2764 KB |
Output is correct |
6 |
Correct |
3 ms |
4172 KB |
Output is correct |
7 |
Correct |
2 ms |
4172 KB |
Output is correct |
8 |
Correct |
3 ms |
4172 KB |
Output is correct |
9 |
Correct |
3 ms |
4080 KB |
Output is correct |
10 |
Correct |
3 ms |
4172 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2636 KB |
Output is correct |
2 |
Correct |
2 ms |
2636 KB |
Output is correct |
3 |
Correct |
2 ms |
2636 KB |
Output is correct |
4 |
Correct |
1 ms |
2764 KB |
Output is correct |
5 |
Correct |
1 ms |
2764 KB |
Output is correct |
6 |
Correct |
3 ms |
4172 KB |
Output is correct |
7 |
Correct |
2 ms |
4172 KB |
Output is correct |
8 |
Correct |
3 ms |
4172 KB |
Output is correct |
9 |
Correct |
3 ms |
4080 KB |
Output is correct |
10 |
Correct |
3 ms |
4172 KB |
Output is correct |
11 |
Correct |
2 ms |
2664 KB |
Output is correct |
12 |
Correct |
4 ms |
2636 KB |
Output is correct |
13 |
Correct |
2 ms |
2636 KB |
Output is correct |
14 |
Correct |
2 ms |
2764 KB |
Output is correct |
15 |
Correct |
1 ms |
2764 KB |
Output is correct |
16 |
Correct |
3 ms |
4172 KB |
Output is correct |
17 |
Correct |
3 ms |
4072 KB |
Output is correct |
18 |
Correct |
3 ms |
4172 KB |
Output is correct |
19 |
Correct |
4 ms |
4172 KB |
Output is correct |
20 |
Correct |
3 ms |
4172 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2636 KB |
Output is correct |
2 |
Correct |
1 ms |
2636 KB |
Output is correct |
3 |
Correct |
1 ms |
2636 KB |
Output is correct |
4 |
Correct |
2 ms |
2636 KB |
Output is correct |
5 |
Correct |
1 ms |
2636 KB |
Output is correct |
6 |
Correct |
2 ms |
2636 KB |
Output is correct |
7 |
Correct |
2 ms |
2636 KB |
Output is correct |
8 |
Correct |
1 ms |
2764 KB |
Output is correct |
9 |
Correct |
1 ms |
2764 KB |
Output is correct |
10 |
Correct |
3 ms |
4172 KB |
Output is correct |
11 |
Correct |
2 ms |
4172 KB |
Output is correct |
12 |
Correct |
3 ms |
4172 KB |
Output is correct |
13 |
Correct |
3 ms |
4080 KB |
Output is correct |
14 |
Correct |
3 ms |
4172 KB |
Output is correct |
15 |
Correct |
2 ms |
2664 KB |
Output is correct |
16 |
Correct |
4 ms |
2636 KB |
Output is correct |
17 |
Correct |
2 ms |
2636 KB |
Output is correct |
18 |
Correct |
2 ms |
2764 KB |
Output is correct |
19 |
Correct |
1 ms |
2764 KB |
Output is correct |
20 |
Correct |
3 ms |
4172 KB |
Output is correct |
21 |
Correct |
3 ms |
4072 KB |
Output is correct |
22 |
Correct |
3 ms |
4172 KB |
Output is correct |
23 |
Correct |
4 ms |
4172 KB |
Output is correct |
24 |
Correct |
3 ms |
4172 KB |
Output is correct |
25 |
Correct |
1 ms |
2636 KB |
Output is correct |
26 |
Correct |
4 ms |
2636 KB |
Output is correct |
27 |
Correct |
2 ms |
2624 KB |
Output is correct |
28 |
Correct |
1 ms |
2764 KB |
Output is correct |
29 |
Correct |
2 ms |
2764 KB |
Output is correct |
30 |
Correct |
4 ms |
4196 KB |
Output is correct |
31 |
Correct |
3 ms |
4172 KB |
Output is correct |
32 |
Correct |
3 ms |
4172 KB |
Output is correct |
33 |
Correct |
3 ms |
4172 KB |
Output is correct |
34 |
Correct |
3 ms |
4172 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2636 KB |
Output is correct |
2 |
Correct |
1 ms |
2636 KB |
Output is correct |
3 |
Correct |
1 ms |
2636 KB |
Output is correct |
4 |
Correct |
2 ms |
2636 KB |
Output is correct |
5 |
Correct |
1 ms |
2636 KB |
Output is correct |
6 |
Correct |
2 ms |
2636 KB |
Output is correct |
7 |
Correct |
2 ms |
2636 KB |
Output is correct |
8 |
Correct |
1 ms |
2764 KB |
Output is correct |
9 |
Correct |
1 ms |
2764 KB |
Output is correct |
10 |
Correct |
3 ms |
4172 KB |
Output is correct |
11 |
Correct |
2 ms |
4172 KB |
Output is correct |
12 |
Correct |
3 ms |
4172 KB |
Output is correct |
13 |
Correct |
3 ms |
4080 KB |
Output is correct |
14 |
Correct |
3 ms |
4172 KB |
Output is correct |
15 |
Correct |
2 ms |
2664 KB |
Output is correct |
16 |
Correct |
4 ms |
2636 KB |
Output is correct |
17 |
Correct |
2 ms |
2636 KB |
Output is correct |
18 |
Correct |
2 ms |
2764 KB |
Output is correct |
19 |
Correct |
1 ms |
2764 KB |
Output is correct |
20 |
Correct |
3 ms |
4172 KB |
Output is correct |
21 |
Correct |
3 ms |
4072 KB |
Output is correct |
22 |
Correct |
3 ms |
4172 KB |
Output is correct |
23 |
Correct |
4 ms |
4172 KB |
Output is correct |
24 |
Correct |
3 ms |
4172 KB |
Output is correct |
25 |
Correct |
1 ms |
2636 KB |
Output is correct |
26 |
Correct |
4 ms |
2636 KB |
Output is correct |
27 |
Correct |
2 ms |
2624 KB |
Output is correct |
28 |
Correct |
1 ms |
2764 KB |
Output is correct |
29 |
Correct |
2 ms |
2764 KB |
Output is correct |
30 |
Correct |
4 ms |
4196 KB |
Output is correct |
31 |
Correct |
3 ms |
4172 KB |
Output is correct |
32 |
Correct |
3 ms |
4172 KB |
Output is correct |
33 |
Correct |
3 ms |
4172 KB |
Output is correct |
34 |
Correct |
3 ms |
4172 KB |
Output is correct |
35 |
Correct |
27 ms |
4596 KB |
Output is correct |
36 |
Correct |
36 ms |
4884 KB |
Output is correct |
37 |
Correct |
29 ms |
4660 KB |
Output is correct |
38 |
Correct |
30 ms |
4964 KB |
Output is correct |
39 |
Correct |
38 ms |
5724 KB |
Output is correct |
40 |
Correct |
101 ms |
37496 KB |
Output is correct |
41 |
Correct |
78 ms |
36744 KB |
Output is correct |
42 |
Correct |
84 ms |
36700 KB |
Output is correct |
43 |
Correct |
94 ms |
36732 KB |
Output is correct |
44 |
Correct |
93 ms |
36588 KB |
Output is correct |
45 |
Correct |
43 ms |
9224 KB |
Output is correct |
46 |
Correct |
35 ms |
5516 KB |
Output is correct |
47 |
Correct |
48 ms |
12356 KB |
Output is correct |
48 |
Correct |
68 ms |
21700 KB |
Output is correct |
49 |
Correct |
33 ms |
6220 KB |
Output is correct |
50 |
Correct |
64 ms |
6316 KB |
Output is correct |