제출 #1221429

#제출 시각아이디문제언어결과실행 시간메모리
1221429mifzal5331Knapsack (NOI18_knapsack)C++20
100 / 100
66 ms3144 KiB
#include <bits/stdc++.h>
using namespace std;

#define ll long long

int main() {
    int kapasitas, barang;
    cin >> kapasitas >> barang;

    vector<int> harga(barang), berat(barang), stok(barang);
    for (int i = 0; i < barang; i++) {
        cin >> harga[i] >> berat[i] >> stok[i];
    }

    // Group items by weight
    map<int, vector<pair<int, int>>> byBerat;
    for (int i = 0; i < barang; i++) {
        byBerat[berat[i]].emplace_back(harga[i], stok[i]);
    }

    vector<pair<int, int>> items; // (total_weight, total_value)
    for (auto &[w, group] : byBerat) {
        sort(group.rbegin(), group.rend()); // sort by value descending

        int maxAllowed = kapasitas / w;

        for (auto &[v, s] : group) {
            int take = min(s, maxAllowed);
            maxAllowed -= take;

            for (int k = 1; take > 0; k <<= 1) {
                int batch = min(k, take);
                take -= batch;

                items.emplace_back(w * batch, v * batch);
            }

            if (maxAllowed == 0) break;
        }
    }

    vector<ll> dp(kapasitas + 1, 0);
    for (auto &[beratItem, nilaiItem] : items) {
        for (int j = kapasitas; j >= beratItem; j--) {
            dp[j] = max(dp[j], dp[j - beratItem] + nilaiItem);
        }
    }

    cout << dp[kapasitas] << '\n';
}
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