Submission #1251896

#	Time	Username	Problem	Language	Result	Execution time	Memory
1251896		vk3601h	Knapsack (NOI18_knapsack)	C++20	100 / 100	69 ms	33096 KiB

knapsack

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

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

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

    map<int, vector<pair<int, int>>> by_weight;
    for (int i = 0; i < N; ++i){
        int v, w, k;
        cin >> v >> w >> k;
        by_weight[w].push_back({v, k});
    }

    vector<vector<long long>> best(by_weight.size() + 1, vector<long long>(S + 1, -1));
    best[0][0] = 0;
    int at = 1;
    for (pair<int, vector<pair<int, int>>> p : by_weight){
        int w = p.first;
        vector<pair<int, int>> items = p.second;
        sort(items.begin(), items.end(), greater<pair<int, int>>());

        for (int i = 0; i <= S; ++i){
            best[at][i] = best[at - 1][i];

            int copies = 0, type_at = 0, curr_used = 0;
            long long profit = 0;
            while ((copies + 1) * w <= i && type_at < items.size()){
                copies++;
                profit += items[type_at].first;

                if (best[at - 1][i - copies * w] != -1) best[at][i] = max(best[at][i], best[at - 1][i - copies * w] + profit);

                curr_used++;
                if (curr_used >= items[type_at].second){
                    curr_used = 0;
                    type_at++;
                }
            }
        }

        at++;
    }

    cout << *max_element(best.back().begin(), best.back().end());
    return 0;
}

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