Submission #860694

#TimeUsernameProblemLanguageResultExecution timeMemory
860694noyancanturkKnapsack (NOI18_knapsack)C++17
73 / 100
1089 ms1576 KiB
#ifndef Local
    #pragma GCC optimize("O3,unroll-loops")
#endif
#include <bits/stdc++.h>
#define int long long
#define pb push_back
#define lim 100000
using namespace std;
const int mod=1000000007ll;

void solve(){
    int s,n;
    cin>>s>>n;
    int dp[s+1];
    memset(dp,0,sizeof(dp));
    dp[0]=0;
    for(int i=0;i<n;i++){
        int v,w,k;
        cin>>v>>w>>k;
        int sv=v,sw=w;
        //cerr<<k<<" "<<w<<" "<<(s/w)<<"\n";
        k=min(k,(s/w));
        for(int t=s-w;0<=t;t--){
            //cerr<<s<<" "<<t+w<<" "<<t<<"\n";
            dp[t+w]=max(dp[t+w],dp[t]+v);
            //cerr<<v<<"\n";
        }
        k--;
        //cerr<<"ok "<<k<<"\n";
        for(int j=1;j<=k;k-=j,j<<=1,w<<=1,v<<=1){
            for(int t=s-w;0<=t;t--){
                dp[t+w]=max(dp[t+w],dp[t]+v);
                //cerr<<v<<"\n";
            }
        }
        sv*=k,sw*=k;
        for(int t=s-sw;0<=t;t--){
            dp[t+sw]=max(dp[t+sw],dp[t]+sv);
        }
    }
    cout<<*max_element(dp,dp+s+1);
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);cout.tie(NULL);
#ifdef Local  
    freopen(".in","r",stdin);
    freopen(".out","w",stdout);
#endif
    int t=1;
    //cin>>t;
    while (t--)
    {
        solve();
    }
}
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