Submission #1188306

#	Time	Username	Problem	Language	Result	Execution time	Memory
1188306		alwaus424	Knapsack (NOI18_knapsack)	C++20	17 / 100	1 ms	328 KiB

knapsack

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

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

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

    vector<pair<int, int>> items; // (value, weight)

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

        // Binary splitting
        for (int j = 1; j <= k; j <<= 1) {
            if (k == 0) break;
            int cnt = min(j, k);
            items.push_back({cnt * v, cnt * w});
            k -= cnt;
        }
    }

    vector<ll> dp(S + 1, 0); // dp[i] = max value with i weight

    for (auto [val, wt] : items) {
        for (int i = S; i >= wt; i--) {
            dp[i] = max(dp[i], dp[i - wt] + val);
        }
    }

    cout << *max_element(dp.begin(), dp.end()) << "\n";
    return 0;
}

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