Submission #970759

#	Time	Username	Problem	Language	Result	Execution time	Memory
970759		54skyxenon	Knapsack (NOI18_knapsack)	C++17	100 / 100	63 ms	34392 KiB

knapsack

// https://oj.uz/problem/view/NOI18_knapsack

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

#define int long long

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int s, n;
    cin >> s >> n;

    vector<vector<pair<int, int>>> by_weight(s + 1);

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

    vector<vector<int>> dp(s + 1, vector<int>(s + 1));

    for (int w = 1; w <= s; w++) {
        sort(by_weight[w].begin(), by_weight[w].end(), greater<pair<int, int>>());
        
        for (int capacity = 1; capacity <= s; capacity++) {
            dp[w][capacity] = max(dp[w - 1][capacity], dp[w][capacity - 1]);

            int gained = 0;
            int consumed = 0;
            
            for (auto& [v, k] : by_weight[w]) {
                if (consumed + w > capacity) {
                    break;
                }

                for (int taken = 0; consumed + w <= capacity && taken < k; taken++) {
                    gained += v;
                    consumed += w;
                    dp[w][capacity] = max(dp[w][capacity], gained + dp[w - 1][capacity - consumed]);
                }
            }
        }
    }

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

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