Submission #1222082

#TimeUsernameProblemLanguageResultExecution timeMemory
1222082vuvietKnapsack (NOI18_knapsack)C++20
100 / 100
104 ms34492 KiB
#include <bits/stdc++.h> using namespace std; typedef pair<int, int> pii; const int maxN = 1e5 + 5; const int maxS = 2e3 + 2; const int INF = 1e9 + 9; int v[maxN], w[maxN], k[maxN]; long long dp[maxS][maxS]; map<int, vector<pii>> m; int S, n; void ReadData() { cin >> S >> n; for (int i = 1; i <= n; ++i) { cin >> v[i] >> w[i] >> k[i]; m[w[i]].push_back({v[i], k[i]}); } } void Solve() { for (int i = 0; i <= S; ++i) for (int j = 0; j <= S; ++j) dp[i][j] = -INF; dp[0][0] = 0; int t = 1; for (auto [w, items] : m) { sort(items.rbegin(), items.rend()); for (int i = 0; i <= S; i++) { dp[t][i] = dp[t - 1][i]; int copies = 0, type_at = 0, curr_used = 0; long long profit = 0; while ((copies + 1) * w <= i && type_at < items.size()) { ++copies; profit += items[type_at].first; if (dp[t - 1][i - copies * w] != -INF) { dp[t][i] = max(dp[t][i], dp[t - 1][i - copies * w] + profit); } ++curr_used; if (curr_used == items[type_at].second) { curr_used = 0; type_at++; } } } t++; } long long ans = 0; for (int i = 0; i <= S; ++i) ans = max(ans, dp[t - 1][i]); cout << ans; } int main() { ReadData(); Solve(); return 0; }
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