#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
int N, M;
int dp[2002][10001] = {0};
struct knapsack{
int weight;
int cost;
};
vector<knapsack> items;
int min(int a, int b){
return a < b? a : b;
}
int max(int a, int b){
return a > b? a : b;
}
void solve(){
for(int i=1; i <= items.size(); i++){
for(int j=1; j <= M; j++){
dp[i][j] = dp[i-1][j];
if(j - items[i-1].weight >= 0) dp[i][j] = max(dp[i-1][j], dp[i-1][j-items[i-1].weight] + items[i-1].cost);
}
}
}
void case_items(int v,int c,int k){
//v : 물건 무게, c : cost, k : 물건 개수
//물건 개수를 줄여 가며,
for(int j = 0; k > 0; j++){
int tmp = min(1 << j, k);
items.push_back({v * tmp, c * tmp});
k -= tmp;
}
}
void input(){
cin >> N >> M;
for(int i = 0; i < N; i++){
int v, c, k;
cin >> v >> c >> k;
case_items(v,c,k);
}
}
int main(void){
ios::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
input();
solve();
cout << dp[items.size()][M] << "\n";
return 0;
}
다이나믹 + 배낭 문제로 문제 해결.
