Submission #1301983

#TimeUsernameProblemLanguageResultExecution timeMemory
1301983vaderspaderKnapsack (NOI18_knapsack)C++20
73 / 100
1092 ms2832 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<ll, ll> pii; typedef vector<ll> vi; typedef vector<vi> matrix; #define rep(i, a, b) for(ll i = a; i < b; i++) #define down(i, b, a) for(ll i = b - 1; i >= a; i--) struct info{ ll v, w, k; info(){} }; int main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); ll s, n; cin >> s >> n; vector<info> a(n); rep(i, 0, n){ cin >> a[i].v >> a[i].w >> a[i].k; } vi dp(s + 1, 0); vi best(s + 1, 0); rep(i, 0, n){ vector<deque<ll>> q(a[i].w, deque<ll>()); rep(j, 0, s + 1){ ll curr = j / a[i].w; ll mod = j % a[i].w; while(!q[mod].empty() && curr - q[mod].front() > a[i].k){ q[mod].pop_front(); } while(!q[mod].empty() && dp[q[mod].back() * a[i].w + mod] + (curr - q[mod].back()) * a[i].v <= dp[j]){ q[mod].pop_back(); } q[mod].push_back(curr); ll f = q[mod].front(); best[j] = (curr - f) * a[i].v + dp[f * a[i].w + mod]; } rep(j, 0, s + 1){ dp[j] = max(dp[j], best[j]); } } cout << dp.back() << endl; }
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