Submission #1014229

#TimeUsernameProblemLanguageResultExecution timeMemory
1014229aufanKnapsack (NOI18_knapsack)C++17
100 / 100
34 ms4956 KiB
#include <bits/stdc++.h> #define int long long #define fi first #define se second using namespace std; int32_t main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int s, n; cin >> s >> n; vector<vector<pair<int, int>>> br(s + 1); for (int i = 0; i < n; i++) { int v, w, k; cin >> v >> w >> k; br[w].push_back({v, k}); } vector<int> dp(s + 1); for (int i = 1; i <= s; i++) { sort(br[i].rbegin(), br[i].rend()); vector<int> vals; for (auto [x, c] : br[i]) { for (int j = 0; j < c; j++) { vals.push_back(x); if ((int)vals.size() * i > s) break; } if ((int)vals.size() * i > s) break; } int sum = 0; vector<int> ndp = dp; for (int j = 0; j < (int)vals.size(); j++) { sum += vals[j]; for (int l = (j + 1) * i; l <= s; l++) { ndp[l] = max(ndp[l], dp[l - (j + 1) * i] + sum); } } swap(dp, ndp); } int ans = 0; for (int i = 0; i <= s; i++) ans = max(ans, dp[i]); cout << ans << '\n'; return 0; }
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