Submission #594416

#TimeUsernameProblemLanguageResultExecution timeMemory
594416victor_gaoKnapsack (NOI18_knapsack)C++17
100 / 100
106 ms2892 KiB
//#pragma GCC optimize("Ofast,unroll-loops,O3")
//#pragma GCC optimize("avx,avx2,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,fma,tune=native")
#include<bits/stdc++.h>
//#include<bits/extc++.h>
//#pragma pack(1)
#define fast ios::sync_with_stdio(0); cin.tie(0);
#define int long long
#define pii pair<int,int>
#define x first
#define y second
using namespace std;
//using namespace __gnu_pbds;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//typedef tree<int, null_type,less_equal<int>, rb_tree_tag,tree_order_statistics_node_update> order_multiset;
//typedef tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update> order_set;
int n,s;
int dp[2015];
multiset<int>mx[2015];
signed main(){
    fast
    cin>>s>>n;
    for (int i=1;i<=n;i++){
        int v,w,k; cin>>v>>w>>k;
        int np=1;
        while (k>0){
            int use=min(k,np);
            int sz=w*use;
            int val=v*use;
            k-=np; np*=2;
            if (sz>s) continue;
            mx[sz].insert(val);
            if (sz*(int)(mx[sz].size())>s) mx[sz].erase(mx[sz].begin());
        }
    }
    for (int i=1;i<=s;i++){
        for (auto k:mx[i]){
            for (int j=s;j>=i;j--){
                dp[j]=max(dp[j],dp[j-i]+k);
            }
        }
    }
    cout<<dp[s]<<'\n';
}
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