Submission #1303676

#TimeUsernameProblemLanguageResultExecution timeMemory
1303676zhenKnapsack (NOI18_knapsack)C++17
100 / 100
440 ms2844 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);
    
    ll s, n; cin >> s >> n;
    vector<ll> v(n + 1), w(n + 1), k(n + 1);
    for (ll i = 1; i <= n; ++i){
        cin >> v[i] >> w[i] >> k[i];
    }
    
    vector<ll> f(s + 1);
    ll cval; ll l;

    vector<ll> mq1(s + 3); vector<ll> mq2(s + 3);
    ll front = 0, back = 0;
    for (ll i = 1; i <= n; ++i){
        for (ll j = 0; j < w[i]; ++j){
            front = 0; back = 0;
            for (ll c = j, l = 0; c <= s; c += w[i], ++l){
                cval = f[c] - l * v[i];
                if (front < back && mq2[front] == l - k[i] - 1){++front;}
                while (front < back && mq1[back - 1] < cval){--back;}

                mq1[back] = cval; mq2[back] = l; ++back;

                f[c] = mq1[front] + l * v[i];
            }
        }
    }
    cout << f[s];
}
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