제출 #1330160

#제출 시각아이디문제언어결과실행 시간메모리
1330160edoKnapsack (NOI18_knapsack)C++20
100 / 100
34 ms2924 KiB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;


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

    int S, n;
    cin >> S >> n;

    map<int, vector<pair<int, int>>> wgr;

    for(int i = 0; i < n; i++) {
        int v, w, k;
        cin >> v >> w >> k;
        if(w <= S) {
            wgr[w].push_back({v, k});
        }
    }
    
    vector<pair<int, int>> f;
    for(auto [w, items] : wgr) {
        vector<pair<int, int>> sorted = items;
        sort(sorted.rbegin(), sorted.rend());
        int tot = S / w;
        int curr = 0;
        for(auto &[v, k] : sorted) {
            int take = min(k, tot - curr);
            curr += take;
            for(int i = 1; take; i <<= 1) {
                int num = min(i, take);
                f.push_back({num * v, num * w});
                take -= num;
            }
        }
    }
    
    vector<ll> dp(S + 1);
    for(auto item : f) {
        for(int j = S; j >= item.second; --j) {
            dp[j] = max(dp[j], dp[j - item.second] + item.first);
        }
    }

    cout << ranges::max(dp);

    return 0;
}

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