Submission #1246675

#TimeUsernameProblemLanguageResultExecution timeMemory
1246675papauloKnapsack (NOI18_knapsack)C++20
100 / 100
748 ms1636 KiB
#include <bits/stdc++.h>
using namespace std;

#define MAXS 2020
#define MAXN 100100
int dp[MAXS];
pair<pair<int, int>, int> items[MAXN];

int main() {
    memset(dp, 0, sizeof(dp));
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int s, n;
    cin >> s >> n;
    for(int i=0;i<n;i++) {
        cin >> items[i].first.first >> items[i].first.second >> items[i].second;
    }
    deque<pair<int, int>> dq;
    for(int i=0;i<n;i++) {
        int v=items[i].first.first, w=items[i].first.second, k=items[i].second;
        for(int wm=0;wm<w;wm++) {
            int cur=0;
            for(int curw=wm; curw<=s; curw+=w) {
                if(!dq.empty()&&cur-dq.back().second>k) dq.pop_back();
                while(!dq.empty()&&dq.front().first+(cur-dq.front().second)*v<=dp[curw]) dq.pop_front();
                dq.push_front({dp[curw], cur});
                dp[curw]=dq.back().first+(cur-dq.back().second)*v;
                cur++;
            }
            dq.clear();
        }
    }
    cout << dp[s] << endl;
    return 0;
}
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