Submission #1030523

#	Time	Username	Problem	Language	Result	Execution time	Memory
1030523		vjudge1	Knapsack (NOI18_knapsack)	C++17	100 / 100	56 ms	41112 KiB

knapsack

#include<bits/stdc++.h>
using namespace std;

using ll = long long;
using ii = pair<int, int>;
using aa = array<int,3>;

const int N = 1e6+5;
const int INF = 1e9;

ll dp[2005][2005];
vector<ii> m[2005];
int pre[2005][2005];

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n,s;
    cin >> s >> n;
    for(int i=1;i<=s;i++) {
        for(int j=1;j<=s;j++) dp[i][j]=0;
    }
    for(int i=1;i<=n;i++) {
        int v,w,k;
        cin >> v >> w >> k;
        m[w].push_back({v,k});
    }
    for(int i=1;i<=s;i++) {
        sort(m[i].begin(),m[i].end(),greater<>());
    }
    for(int i=1;i<=s;i++) {
        int cur=0;
        for(ii x:m[i]) {
            int t=cur;
            cur+=x.second;
            cur=min(cur,s/i);
            for(int j=t+1;j<=cur;j++) {
                pre[i][j]=pre[i][j-1]+x.first;
            }
            if(cur>=s/i) break;
        }
    }
    ll ans=0;
    for(int i=1;i<=s;i++) {
        for(ll j=1;j<=s;j++) {
            for(int k=1;i*k<=j;k++) {
                dp[i][j]=max(dp[i][j],dp[i-1][j-i*k]+pre[i][k]);
                ans=max(ans,dp[i][j]);
            }
            dp[i][j]=max(dp[i][j],dp[i-1][j]);
            //cout << dp[i][j] << ' ';
        }
        //cout << endl;
    }
    cout << ans;
    return 0;
}

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