제출 #1036804

#제출 시각아이디문제언어결과실행 시간메모리
1036804ocasuKnapsack (NOI18_knapsack)C++17
73 / 100
1008 ms1308 KiB
#include <bits/stdc++.h>
using namespace std;

#define int long long

const int inf=1e12;

signed main(){
    int S,n; cin>>S>>n;

    vector<multiset<int>> items(S+1);
    for (int i=0; i<n; i++){
        int v,w,k; cin>>v>>w>>k;
        k=min(k, S/w+1);
        while(k--) items[w].insert(v);

        while((int)(items[w].size()) > S/w+1) {
            items[w].erase(items[w].begin());
        }
    }

    vector<int> dp(S+1,-inf); //current maximum value of a subset with total weight w
    dp[0]=0;

    for (int w=0; w<=S; w++){
        for (auto v: items[w]){
            for (int i=S; i>=w; i--){
                dp[i]=max(dp[i], dp[i-w]+v);
            }
        }
    }
    int ans=0;
    for (auto i: dp) ans=max(ans, i);
    cout<<ans<<'\n';


}
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