#include <bits/stdc++.h>
using namespace std;
struct item{
int value, weight, quantity;
};
int main(){
int S, N;
cin >> S >> N; //S is maximum weight, N is total # of items
item items[N];
for(int i = 0; i < N; i++){
cin >> items[i].value >> items[i].weight >> items[i].quantity;
}
pair<int,int> maxval[N][S+1]; //first is current value, second is current weight
for(auto &element:maxval){
for(auto &e : element){
e = {0,0};
}
}
for(int j = 0; j <= S; j++){
maxval[0][j].first = min(items[0].quantity, int(j/items[0].weight)) * items[0].value;
maxval[0][j].second = items[0].weight * min(items[0].quantity, int(j/items[0].weight));
}
for(int i = 1; i < N; i++){
for(int j = 0; j <= S; j++){
int add_new = min(items[i].quantity, (j-maxval[i-1][j].second)/items[i].weight); //with each you can either
int reform = min(items[i].quantity, j/items[i].weight); //add to fill up or restart using that as the best
int value1 = maxval[i-1][j].first + add_new*items[i].value;
int value2 = reform * items[i].value + maxval[i-1][j-reform*items[i].weight].first;
if(value1 > value2){
maxval[i][j].first = value1;
maxval[i][j].second = maxval[i-1][j].second + add_new*items[i].weight;
}
else if(value1 < value2){
maxval[i][j].first = value2;
maxval[i][j].second = items[i].weight * reform + maxval[i-1][j-reform*items[i].weight].second;
}
else{
maxval[i][j].first = value1;
maxval[i][j].second = min(maxval[i-1][j].second + add_new*items[i].weight, items[i].weight * reform + maxval[i-1][j-reform*items[i].weight].second);
}
}
}
cout << maxval[N-1][S].first;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
1 ms |
344 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
600 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
4 ms |
1884 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 4 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 5 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 6 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 7 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 8 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 9 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 10 |
Correct |
3 ms |
1880 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
4 ms |
1884 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 4 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 5 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 6 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 7 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 8 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 9 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 10 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 11 |
Correct |
0 ms |
344 KB |
Output is correct |
| 12 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 13 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 14 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 15 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 16 |
Incorrect |
3 ms |
1884 KB |
Output isn't correct |
| 17 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
1 ms |
344 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
600 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
4 ms |
1884 KB |
Output is correct |
| 7 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 8 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 9 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 10 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 11 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 12 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 13 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 14 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 15 |
Correct |
0 ms |
344 KB |
Output is correct |
| 16 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 17 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 18 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 19 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 20 |
Incorrect |
3 ms |
1884 KB |
Output isn't correct |
| 21 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
1 ms |
344 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
600 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
4 ms |
1884 KB |
Output is correct |
| 7 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 8 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 9 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 10 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 11 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 12 |
Correct |
3 ms |
1884 KB |
Output is correct |
| 13 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 14 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 15 |
Correct |
0 ms |
344 KB |
Output is correct |
| 16 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 17 |
Correct |
4 ms |
1880 KB |
Output is correct |
| 18 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 19 |
Correct |
3 ms |
1880 KB |
Output is correct |
| 20 |
Incorrect |
3 ms |
1884 KB |
Output isn't correct |
| 21 |
Halted |
0 ms |
0 KB |
- |
