Submission #1127706

#TimeUsernameProblemLanguageResultExecution timeMemory
1127706eirinayukariKnapsack (NOI18_knapsack)C++20
73 / 100
1088 ms2628 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
const int maxn = 5000;
const int mod = 998244353;

void add_self(int &a, int b) {
    a += b;
    if(a >= mod) a -= mod;
}

void sub_self(int &a, int b) {
    a -= b;
    if(a < 0) a += mod;
}

int n, s;
vector<tuple<int, int, int>> items;

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);

    cin >> s >> n;
    items.resize(n);
    for(auto &[v, w, c] : items) {
        cin >> v >> w >> c;
    }

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

    for(auto [v, w, c] : items) {
        vector<ll> new_dp = dp;
        for(int j = 0; j < w; ++j) {
            deque<pair<int, ll>> deq;
            for(int i = j; i <= s; i += w) {
                ll val = dp[i] - (i / w) * v;
                while(!deq.empty() && deq.back().second <= val) {
                    deq.pop_back();
                }
                deq.emplace_back(i, val);
                while(!deq.empty() && deq.front().first < i - c * w) {
                    deq.pop_front();
                }
                new_dp[i] = deq.front().second + (i / w) * v;
            }
        }
        dp = new_dp;
    }

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