Submission #1275989

#TimeUsernameProblemLanguageResultExecution timeMemory
1275989lee.desmond2016Knapsack (NOI18_knapsack)C++20
73 / 100
1096 ms588 KiB
#include <bits/stdc++.h>
#define ll long long
using namespace std;
const int INF = -1e9;

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

    int S, N;
    cin >> S >> N;
    vector<ll> dp(S + 1, 0);

    for (int i = 0; i < N; i++) {
        int v, w, k;
        cin >> v >> w >> k;

        for (int r = 0; r < w; r++) {
            deque<pair<ll,ll>> dq; // {dp value, index}
            for (int j = 0; j * w + r <= S; j++) {
                ll idx = j * w + r;
                ll val = dp[idx] - j * v;

                while (!dq.empty() && dq.back().first <= val) dq.pop_back();
                dq.push_back({val, j});

                while (!dq.empty() && j - dq.front().second > k) dq.pop_front();

                dp[idx] = dq.front().first + j * v;
            }
        }
    }

    cout << dp[S] << "\n";
}
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