Submission #1303671

#TimeUsernameProblemLanguageResultExecution timeMemory
1303671zhenKnapsack (NOI18_knapsack)C++17
73 / 100
1096 ms1640 KiB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    // freopen("template.in", "r", stdin);
    // freopen("template.out", "w", stdout);
    
    int s, n; cin >> s >> n;
    vector<int> v(n + 1), w(n + 1), k(n + 1);
    for (int i = 1; i <= n; ++i){
        cin >> v[i] >> w[i] >> k[i];
        k[i] = min(k[i], s);
    }
    
    vector<int> f(s + 1, 0);
    for (int i = 1; i <= n; ++i){
        for (int j = 0; j < w[i]; ++j){
            deque<pair<int, int>> mq;
            for (int c = j; c <= s; c += w[i]){
                int l = (c - j)/w[i];
                int cval = f[c] - l * v[i];
                if (!mq.empty() && mq.front().second == l - k[i] - 1){mq.pop_front();}
                while (!mq.empty() && mq.back().first < cval){mq.pop_back();}
                mq.push_back({cval, l});

                f[c] = mq.front().first + l * v[i];
            }
        }
    }
    cout << f[s];
}
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