Submission #1036810

#TimeUsernameProblemLanguageResultExecution timeMemory
1036810ocasuKnapsack (NOI18_knapsack)C++17
12 / 100
0 ms348 KiB
#include <bits/stdc++.h>
using namespace std;

#define int long long

const int inf=1e12;

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int S,n; cin>>S>>n;
    vector<vector<int>> a(n);
    for (int i=0; i<n; i++){
        int v,w,k; cin>>v>>w>>k;
        a[i]={v,w,k};
    }
    sort(a.begin(),a.end());
    vector<vector<int>> items(S+1);
    for (int i=0; i<n; i++){
        int v=a[i][0], w=a[i][1], k=a[i][2];

        while (k-- and ((int)(items[w].size())<S/w+1)) items[w].push_back(v);
    }

    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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