Submission #1255206

#	Time	Username	Problem	Language	Result	Execution time	Memory
1255206		msiyem	Knapsack (NOI18_knapsack)	C++20	73 / 100	1096 ms	328 KiB

knapsack

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

typedef long long ll;
typedef vector<ll> vl;

#define optimize() ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define PB push_back

int main() {
    optimize();

    int S, N;
    cin >> S >> N;

    vl dp(S + 1, 0);

    for (int i = 0; i < N; ++i) {
        ll v, w, k;
        cin >> v >> w >> k;

        // Binary representation trick to break into log(k) items
        for (ll t = 1; k > 0; t <<= 1) {
            ll use = min(t, k);
            k -= use;
            ll tw = w * use;
            ll tv = v * use;

            // 0/1 knapsack step
            for (int j = S; j >= tw; --j) {
                dp[j] = max(dp[j], dp[j - tw] + tv);
            }
        }
    }

    cout << dp[S] << '\n';
    return 0;
}

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