Submission #570633

#	Time	Username	Problem	Language	Result	Execution time	Memory
570633		Dan4Life	Knapsack (NOI18_knapsack)	C++17	100 / 100	91 ms	36360 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define pb push_back
#define all(a) a.begin(), a.end()
int n, W, dp[2010][2010];
vector<pair<int,int>> weight[2010];
int32_t main()
{
    ios_base::sync_with_stdio(false); cin.tie(0);
    cin >> W >> n;
    for(int i = 0; i < n; i++){
        int v, w, k; cin >> v >> w >> k;
        weight[w].pb({v,k});
    }
    for(int i = 0; i <= W; i++) sort(all(weight[i])), reverse(all(weight[i]));
    for(int i = 0; i <= W; i++)
        for(int j = 0; j <= W; j++)
            dp[i][j] = (j==0?0ll:-(int)1e18);
    for(int i = 1; i <= W; i++){
        for(int j = 0; j <= W; j++){
            dp[i][j] = max(dp[i][j], dp[i-1][j]);
            int mx_k = j/i, val = 0, k = 0;
            for(auto u : weight[i]){
                if(k>=mx_k) break;
                while(u.se-- and k<mx_k){
                    val+=u.fi, k++;
                    dp[i][j] = max(dp[i][j], dp[i-1][j-k*i]+val);
                }
            }
        }
    }
    int ans = 0; for(int i = 0; i <= W; i++) ans = max(ans, dp[W][i]);
    cout << ans << "\n";
}

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