Submission #1248156

#	Time	Username	Problem	Language	Result	Execution time	Memory
1248156		mohamedaziz	Knapsack (NOI18_knapsack)	C++20	73 / 100	1093 ms	2628 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;
#define int long long 
signed main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int W, n;
    cin >> W >> n;

    vector<int> weight(n), value(n), cnt(n);
    for(int i = 0; i < n; i++){
        cin >> value[i] >> weight[i] >> cnt[i];
    }

    vector<int> dp(W + 1, 0);

    // Process each item i
    for(int i = 0; i < n; i++){
        int w = weight[i];
        int v = value[i];
        int c = cnt[i];

        // Binary-split the count c
        for(int k = 1; c > 0; k <<= 1){
            int take = min(k, c);
            int ww = w * take;
            int vv = v * take;
            // 0/1 knapsack update for this pseudo-item
            for(int cap = W; cap >= ww; cap--){
                dp[cap] = max(dp[cap], dp[cap - ww] + vv);
            }
            c -= take;
        }
    }

    cout << dp[W] << "\n";
    return 0;
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 0 / 27