Submission #1290124

#	Time	Username	Problem	Language	Result	Execution time	Memory
1290124		haha	Knapsack (NOI18_knapsack)	C++20	100 / 100	45 ms	1912 KiB

knapsack

#include <bits/stdc++.h>
#define f first
#define s second
#define ll long long
using namespace std;
const int maxn=1e5+5;

int n,S;
vector<pair<int,int>> W[maxn];
vector<int> weight,val;
ll dp[2005];

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    cin>>S>>n;
    for(int i=1;i<=n;i++){
        int v,w,k;
        cin>>v>>w>>k;
        k=min(k,S/w);
        W[w].push_back({v,k});
    }
    for(int i=1;i<=S;i++){
        sort(W[i].begin(),W[i].end(),[](pair<int,int> a,pair<int,int> b){
             return a.f>b.f;
        });
        int cnt=0;
        for(int j=0;j<W[i].size();j++){
            int v=W[i][j].f;
            int k=W[i][j].s;
            if(cnt*i>S) break;
            for(int x=1;x<=k;x++){
                if(cnt*i>S) break;
                cnt++;
                weight.push_back(i);
                val.push_back(v);
            }
        }
    }
    for(int i=0;i<weight.size();i++){
        for(int s=S;s>=0;s--){
            if(s-weight[i]>=0) dp[s]=max(dp[s],dp[s-weight[i]]+val[i]);
        }
    }
    ll ans=0;
    for(int i=1;i<=S;i++) ans=max(ans,dp[i]);
    cout<<ans;
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 27 / 27