Submission #471091

#	Time	Username	Problem	Language	Result	Execution time	Memory
471091		dqk	Knapsack (NOI18_knapsack)	C++17	100 / 100	122 ms	34788 KiB

knapsack

#include <bits/stdc++.h>
using i64 = long long;

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int s, n;
    std::cin >> s >> n;
    std::map<int, std::vector<std::pair<int, int>>> m;
    for (int i = 0; i < n; ++i) {
        int v, w, k;
        std::cin >> v >> w >> k;
        m[w].push_back({v, k});
    }
    std::vector<std::vector<i64>> dp(m.size() + 1, std::vector<i64>(s + 1, 0));
    int i = 0;
    i64 ans = 0;
    for (auto &[w, p] : m) {
        i++;
        std::sort(p.rbegin(), p.rend());
        for (int j = 0; j <= s; ++j) {
            dp[i][j] = dp[i - 1][j];
            int W = 0;
            i64 V = 0;
            for (auto [v, k] : p) {
                if (W > j)
                    break;
                for (int l = 0; l < k; ++l) {
                    W += w;
                    V += v;
                    if (W > j)
                        break;
                    dp[i][j] = std::max(dp[i][j], dp[i - 1][j - W] + V);
                }
            }
            ans = std::max(ans, dp[i][j]);
        }
    }
    std::cout << ans << "\n";
    return 0;
}

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