#include <iostream>
#include <cstdio>
#include <vector>
#include <utility>
#include <cmath>
#include <algorithm>
#include <array>
#include <set>
#include <climits>
#include <map>
#include <memory>
#include <string>
#include <deque>
#include <queue>
#include <stack>
using namespace std;
#define input "knapsack.in"
#define output "knapsack.out"
#define int long long
typedef tuple<double, int, int, int> item;
int S, n;
vector<item> items;
vector<vector<int>> dp;
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0);
//freopen(input, "r", stdin);
//freopen(output, "w", stdout);
cin >> S >> n;
dp.resize(S+1, vector<int>(n+1, 0));
items.reserve(n);
for (int i=0;i<n;i++) {
int val, weight, amt;
cin >> val >> weight >> amt;
items.push_back({(double)(val)/weight, val, weight, amt});
}
sort(items.begin(), items.end(), [](item& a, item& b) -> bool {
return get<0>(a)<get<0>(b);
});
/* for (int i=0;i<n;i++) cout << get<0>(items[i]) << ' ' << get<1>(items[i]) <<
' ' << get<2>(items[i]) << ' ' << get<3>(items[i]) << endl; */
for (int i=0;i<n;i++) dp[get<2>(items[i])][i+1]=get<1>(items[i]);
for (int s=1;s<=S;s++) {
for (int i=1;i<=n;i++) {
dp[s][i]=max(dp[s-1][i], dp[s][i]);
int amt=get<3>(items[i-1]), wt=get<2>(items[i-1]), val=get<1>(items[i-1]);
for (int k=0;k<=s && k/wt<=amt;k+=wt) {
int used=k/wt*val;
dp[s][i]=max(dp[s][i], used+dp[s-k][i-1]);
}
}
}
cout << dp[S][n] << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
2 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
5 ms |
1868 KB |
Output is correct |
3 |
Correct |
4 ms |
1868 KB |
Output is correct |
4 |
Correct |
2 ms |
1868 KB |
Output is correct |
5 |
Correct |
2 ms |
1868 KB |
Output is correct |
6 |
Correct |
4 ms |
1868 KB |
Output is correct |
7 |
Correct |
3 ms |
1868 KB |
Output is correct |
8 |
Correct |
3 ms |
1868 KB |
Output is correct |
9 |
Correct |
3 ms |
1868 KB |
Output is correct |
10 |
Correct |
4 ms |
1868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
5 ms |
1868 KB |
Output is correct |
3 |
Correct |
4 ms |
1868 KB |
Output is correct |
4 |
Correct |
2 ms |
1868 KB |
Output is correct |
5 |
Correct |
2 ms |
1868 KB |
Output is correct |
6 |
Correct |
4 ms |
1868 KB |
Output is correct |
7 |
Correct |
3 ms |
1868 KB |
Output is correct |
8 |
Correct |
3 ms |
1868 KB |
Output is correct |
9 |
Correct |
3 ms |
1868 KB |
Output is correct |
10 |
Correct |
4 ms |
1868 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
14 ms |
1932 KB |
Output is correct |
13 |
Correct |
5 ms |
1868 KB |
Output is correct |
14 |
Correct |
2 ms |
1868 KB |
Output is correct |
15 |
Correct |
3 ms |
1868 KB |
Output is correct |
16 |
Correct |
4 ms |
1848 KB |
Output is correct |
17 |
Correct |
4 ms |
1868 KB |
Output is correct |
18 |
Correct |
3 ms |
1868 KB |
Output is correct |
19 |
Correct |
6 ms |
1868 KB |
Output is correct |
20 |
Correct |
4 ms |
1868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
2 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
5 ms |
1868 KB |
Output is correct |
7 |
Correct |
4 ms |
1868 KB |
Output is correct |
8 |
Correct |
2 ms |
1868 KB |
Output is correct |
9 |
Correct |
2 ms |
1868 KB |
Output is correct |
10 |
Correct |
4 ms |
1868 KB |
Output is correct |
11 |
Correct |
3 ms |
1868 KB |
Output is correct |
12 |
Correct |
3 ms |
1868 KB |
Output is correct |
13 |
Correct |
3 ms |
1868 KB |
Output is correct |
14 |
Correct |
4 ms |
1868 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
16 |
Correct |
14 ms |
1932 KB |
Output is correct |
17 |
Correct |
5 ms |
1868 KB |
Output is correct |
18 |
Correct |
2 ms |
1868 KB |
Output is correct |
19 |
Correct |
3 ms |
1868 KB |
Output is correct |
20 |
Correct |
4 ms |
1848 KB |
Output is correct |
21 |
Correct |
4 ms |
1868 KB |
Output is correct |
22 |
Correct |
3 ms |
1868 KB |
Output is correct |
23 |
Correct |
6 ms |
1868 KB |
Output is correct |
24 |
Correct |
4 ms |
1868 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
891 ms |
1940 KB |
Output is correct |
27 |
Correct |
5 ms |
1848 KB |
Output is correct |
28 |
Correct |
3 ms |
1868 KB |
Output is correct |
29 |
Correct |
2 ms |
1868 KB |
Output is correct |
30 |
Correct |
8 ms |
1848 KB |
Output is correct |
31 |
Correct |
3 ms |
1868 KB |
Output is correct |
32 |
Correct |
4 ms |
1868 KB |
Output is correct |
33 |
Correct |
4 ms |
1868 KB |
Output is correct |
34 |
Correct |
4 ms |
1868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
2 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
5 ms |
1868 KB |
Output is correct |
7 |
Correct |
4 ms |
1868 KB |
Output is correct |
8 |
Correct |
2 ms |
1868 KB |
Output is correct |
9 |
Correct |
2 ms |
1868 KB |
Output is correct |
10 |
Correct |
4 ms |
1868 KB |
Output is correct |
11 |
Correct |
3 ms |
1868 KB |
Output is correct |
12 |
Correct |
3 ms |
1868 KB |
Output is correct |
13 |
Correct |
3 ms |
1868 KB |
Output is correct |
14 |
Correct |
4 ms |
1868 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
16 |
Correct |
14 ms |
1932 KB |
Output is correct |
17 |
Correct |
5 ms |
1868 KB |
Output is correct |
18 |
Correct |
2 ms |
1868 KB |
Output is correct |
19 |
Correct |
3 ms |
1868 KB |
Output is correct |
20 |
Correct |
4 ms |
1848 KB |
Output is correct |
21 |
Correct |
4 ms |
1868 KB |
Output is correct |
22 |
Correct |
3 ms |
1868 KB |
Output is correct |
23 |
Correct |
6 ms |
1868 KB |
Output is correct |
24 |
Correct |
4 ms |
1868 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
891 ms |
1940 KB |
Output is correct |
27 |
Correct |
5 ms |
1848 KB |
Output is correct |
28 |
Correct |
3 ms |
1868 KB |
Output is correct |
29 |
Correct |
2 ms |
1868 KB |
Output is correct |
30 |
Correct |
8 ms |
1848 KB |
Output is correct |
31 |
Correct |
3 ms |
1868 KB |
Output is correct |
32 |
Correct |
4 ms |
1868 KB |
Output is correct |
33 |
Correct |
4 ms |
1868 KB |
Output is correct |
34 |
Correct |
4 ms |
1868 KB |
Output is correct |
35 |
Correct |
39 ms |
5180 KB |
Output is correct |
36 |
Runtime error |
107 ms |
262148 KB |
Execution killed with signal 9 |
37 |
Halted |
0 ms |
0 KB |
- |