Submission #1221099

#TimeUsernameProblemLanguageResultExecution timeMemory
1221099longggggKnapsack (NOI18_knapsack)C++17
73 / 100
1097 ms9524 KiB
#include <bits/stdc++.h>
using namespace std;
#define ll long long

int main() {
    ios::sync_with_stdio(0); cin.tie(0);

    int s, n; cin >> s >> n;
    vector<vector<pair<int, int>>> weight(2001);

    for (int i = 0; i < n; ++i) {
        int v, w, k; cin >> v >> w >> k;
        if (w <= s) weight[w].emplace_back(v, k);
    }

    vector<ll> dp(s + 1, 0);

    for (int w = 1; w <= 2000; ++w) {
        if (weight[w].empty()) continue;

        vector<pair<int, int>> items;

        // Gom lại tất cả các vật có cùng trọng lượng w
        for (auto [v, k] : weight[w]) {
            int max_take = min(k, s / w);  // Giới hạn số món cần sinh
            for (ll pw = 1; max_take > 0; pw <<= 1) {
                int use = min((ll)max_take, pw);
                items.emplace_back(w * use, v * use);
                max_take -= use;
            }
        }

        // Knapsack 0/1 cho toàn bộ món cùng trọng lượng w
        for (auto [ww, vv] : items) {
            for (int j = s; j >= ww; --j) {
                dp[j] = max(dp[j], dp[j - ww] + vv);
            }
        }
    }

    cout << *max_element(dp.begin(), dp.end()) << '\n';
}
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