/* Author:- Mohit Singhal */
#include <bits/stdc++.h>
using namespace std;
#define endl "\n"
#define fastio ios_base::sync_with_stdio(false);cin.tie(NULL);
#define PI 3.14159265
#define ll long long
#define vii vector<int, int>
#define vll vector<long long, long long>
#define vi vector<int>
#define vl vector<long long>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
// define ordered_multiset tree< pair<int,int>, null_type, less<pair<int,int>>, rb_tree_tag, tree_order_statistics_node_update>
// define ordered_set tree< int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>
int main(){
fastio;
ll s, n;
cin >> s >> n;
ll v[n], w[n], k[n];
for(int i = 0;i<n;i++){
cin >> v[i] >> w[i] >> k[i];
}
priority_queue<pair<ll, ll>> pq[s+1];
for(int i = 0;i<n;i++){
pq[w[i]].push({v[i], k[i]});
}
vector<ll> values[s+1];
for(int i = 1;i<=s;i++){
values[i].push_back(0);
ll currValue = 0;
ll currWeight = i;
while(pq[i].size() > 0 && currWeight <= s){
pair<ll, ll> p = pq[i].top();
currValue+= p.first;
values[i].push_back(currValue);
currWeight+=i;
p.second--;
pq[i].pop();
if(p.second > 0)
pq[i].push(p);
}
}
ll dp[s+1][2];
for(int i = 0;i<=s;i++){
dp[i][0] = 0;
}
dp[0][1] = 0;
// for(int i = 1;i<=s;i++){
// for(auto ele: values[i]){
// cout << ele << " ";
// }
// cout << endl;
// }
for(int i = 1;i<=s;i++){
for(int j = 1;j<=s;j++){
dp[j][i%2] = dp[j][(i+1)%2];
int k = 1;
while(k < values[i].size() && j - i*k >= 0){
dp[j][i%2] = max(dp[j][i%2], dp[j - i*k][(i+1)%2] + values[i][k]) ;
k++;
}
}
// cout << dp[s][i%2] << endl;
}
cout << dp[s][s%2] << endl;
}
Compilation message
knapsack.cpp: In function 'int main()':
knapsack.cpp:73:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
73 | while(k < values[i].size() && j - i*k >= 0){
| ~~^~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 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 |
2 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
4 ms |
460 KB |
Output is correct |
3 |
Correct |
4 ms |
460 KB |
Output is correct |
4 |
Correct |
3 ms |
460 KB |
Output is correct |
5 |
Correct |
3 ms |
460 KB |
Output is correct |
6 |
Correct |
3 ms |
460 KB |
Output is correct |
7 |
Correct |
3 ms |
460 KB |
Output is correct |
8 |
Correct |
3 ms |
460 KB |
Output is correct |
9 |
Correct |
4 ms |
460 KB |
Output is correct |
10 |
Correct |
4 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
4 ms |
460 KB |
Output is correct |
3 |
Correct |
4 ms |
460 KB |
Output is correct |
4 |
Correct |
3 ms |
460 KB |
Output is correct |
5 |
Correct |
3 ms |
460 KB |
Output is correct |
6 |
Correct |
3 ms |
460 KB |
Output is correct |
7 |
Correct |
3 ms |
460 KB |
Output is correct |
8 |
Correct |
3 ms |
460 KB |
Output is correct |
9 |
Correct |
4 ms |
460 KB |
Output is correct |
10 |
Correct |
4 ms |
460 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
6 ms |
460 KB |
Output is correct |
13 |
Correct |
3 ms |
460 KB |
Output is correct |
14 |
Correct |
4 ms |
460 KB |
Output is correct |
15 |
Correct |
3 ms |
460 KB |
Output is correct |
16 |
Correct |
3 ms |
460 KB |
Output is correct |
17 |
Correct |
4 ms |
460 KB |
Output is correct |
18 |
Correct |
3 ms |
460 KB |
Output is correct |
19 |
Correct |
4 ms |
460 KB |
Output is correct |
20 |
Correct |
4 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 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 |
2 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
4 ms |
460 KB |
Output is correct |
7 |
Correct |
4 ms |
460 KB |
Output is correct |
8 |
Correct |
3 ms |
460 KB |
Output is correct |
9 |
Correct |
3 ms |
460 KB |
Output is correct |
10 |
Correct |
3 ms |
460 KB |
Output is correct |
11 |
Correct |
3 ms |
460 KB |
Output is correct |
12 |
Correct |
3 ms |
460 KB |
Output is correct |
13 |
Correct |
4 ms |
460 KB |
Output is correct |
14 |
Correct |
4 ms |
460 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
6 ms |
460 KB |
Output is correct |
17 |
Correct |
3 ms |
460 KB |
Output is correct |
18 |
Correct |
4 ms |
460 KB |
Output is correct |
19 |
Correct |
3 ms |
460 KB |
Output is correct |
20 |
Correct |
3 ms |
460 KB |
Output is correct |
21 |
Correct |
4 ms |
460 KB |
Output is correct |
22 |
Correct |
3 ms |
460 KB |
Output is correct |
23 |
Correct |
4 ms |
460 KB |
Output is correct |
24 |
Correct |
4 ms |
460 KB |
Output is correct |
25 |
Correct |
0 ms |
204 KB |
Output is correct |
26 |
Correct |
6 ms |
460 KB |
Output is correct |
27 |
Correct |
3 ms |
460 KB |
Output is correct |
28 |
Correct |
3 ms |
460 KB |
Output is correct |
29 |
Correct |
3 ms |
460 KB |
Output is correct |
30 |
Correct |
4 ms |
460 KB |
Output is correct |
31 |
Correct |
3 ms |
460 KB |
Output is correct |
32 |
Correct |
4 ms |
460 KB |
Output is correct |
33 |
Correct |
3 ms |
460 KB |
Output is correct |
34 |
Correct |
3 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 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 |
2 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
4 ms |
460 KB |
Output is correct |
7 |
Correct |
4 ms |
460 KB |
Output is correct |
8 |
Correct |
3 ms |
460 KB |
Output is correct |
9 |
Correct |
3 ms |
460 KB |
Output is correct |
10 |
Correct |
3 ms |
460 KB |
Output is correct |
11 |
Correct |
3 ms |
460 KB |
Output is correct |
12 |
Correct |
3 ms |
460 KB |
Output is correct |
13 |
Correct |
4 ms |
460 KB |
Output is correct |
14 |
Correct |
4 ms |
460 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
6 ms |
460 KB |
Output is correct |
17 |
Correct |
3 ms |
460 KB |
Output is correct |
18 |
Correct |
4 ms |
460 KB |
Output is correct |
19 |
Correct |
3 ms |
460 KB |
Output is correct |
20 |
Correct |
3 ms |
460 KB |
Output is correct |
21 |
Correct |
4 ms |
460 KB |
Output is correct |
22 |
Correct |
3 ms |
460 KB |
Output is correct |
23 |
Correct |
4 ms |
460 KB |
Output is correct |
24 |
Correct |
4 ms |
460 KB |
Output is correct |
25 |
Correct |
0 ms |
204 KB |
Output is correct |
26 |
Correct |
6 ms |
460 KB |
Output is correct |
27 |
Correct |
3 ms |
460 KB |
Output is correct |
28 |
Correct |
3 ms |
460 KB |
Output is correct |
29 |
Correct |
3 ms |
460 KB |
Output is correct |
30 |
Correct |
4 ms |
460 KB |
Output is correct |
31 |
Correct |
3 ms |
460 KB |
Output is correct |
32 |
Correct |
4 ms |
460 KB |
Output is correct |
33 |
Correct |
3 ms |
460 KB |
Output is correct |
34 |
Correct |
3 ms |
460 KB |
Output is correct |
35 |
Correct |
20 ms |
5832 KB |
Output is correct |
36 |
Correct |
32 ms |
6180 KB |
Output is correct |
37 |
Correct |
25 ms |
5960 KB |
Output is correct |
38 |
Correct |
32 ms |
6056 KB |
Output is correct |
39 |
Correct |
32 ms |
6668 KB |
Output is correct |
40 |
Correct |
66 ms |
7116 KB |
Output is correct |
41 |
Correct |
39 ms |
6344 KB |
Output is correct |
42 |
Correct |
41 ms |
6340 KB |
Output is correct |
43 |
Correct |
43 ms |
6468 KB |
Output is correct |
44 |
Correct |
47 ms |
6468 KB |
Output is correct |
45 |
Correct |
45 ms |
7116 KB |
Output is correct |
46 |
Correct |
32 ms |
6724 KB |
Output is correct |
47 |
Correct |
46 ms |
7364 KB |
Output is correct |
48 |
Correct |
40 ms |
7108 KB |
Output is correct |
49 |
Correct |
32 ms |
6860 KB |
Output is correct |
50 |
Correct |
39 ms |
6640 KB |
Output is correct |