Submission #1286635

#	Time	Username	Problem	Language	Result	Execution time	Memory
1286635		ducmanh2612	Knapsack (NOI18_knapsack)	C++20	73 / 100	1095 ms	2780 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int S, N;
    cin >> S >> N;
    long long v[N + 1], w[N + 1], k[N + 1];
    long long dp[S + 1];
    memset(dp, 0, sizeof(dp));
    for (int i = 1; i <= N; i++) cin >> v[i] >> w[i] >> k[i];

    for (int i = 1; i <= N; i++) {


        long long upperK = S / w[i];
        upperK = min(upperK, k[i]);

        //binary splitting
        for (long long j = 1; upperK > 0; j <<= 1) {
            long long tmp = min(j, upperK);
            long  long weight = tmp * w[i];
            long long value = tmp * v[i];
            for (int s = S; s >= weight; s--) {
                dp[s] = max(dp[s - weight] + value, dp[s]);
            }
            upperK -= tmp;
        }
    }
    cout << dp[S] << endl;
}

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