Submission #1214871

#TimeUsernameProblemLanguageResultExecution timeMemory
1214871Nelt메기 농장 (IOI22_fish)C++17
100 / 100
460 ms120080 KiB
#include "fish.h" #include <bits/stdc++.h> #define ll long long #define endl "\n" using namespace std; const ll inf = 2e18; long long max_weights(int n, int m, vector<int> X, vector<int> Y, vector<int> W) { vector<pair<ll, ll>> fish[n + 1]; for (ll i = 0; i < m; i++) fish[X[i] + 1].push_back(make_pair(Y[i] + 1, W[i])); for (ll i = 1; i <= n; i++) { sort(fish[i].begin(), fish[i].end()); fish[i].insert(fish[i].begin(), make_pair(-1, 0)); for (ll j = 1; j < fish[i].size(); j++) fish[i][j].second += fish[i][j - 1].second; } vector<pair<ll, ll>> dp[n + 1][2]; vector<pair<ll, ll>> from0[n + 1]; vector<ll> states; for (auto j : fish[1]) if (j.first != -1) dp[1][1].push_back(make_pair(j.first, 0)), dp[1][0].push_back(make_pair(j.first, 0)); dp[1][1].push_back(make_pair(n, 0)); dp[1][0].push_back(make_pair(n, 0)); from0[1].push_back(make_pair(0, 0)); vector<pair<ll, ll>> pre, suf; for (ll i = 2; i <= n; i++) { states.clear(); for (auto j : fish[i]) if (j.first != -1) states.push_back(j.first), states.push_back(j.first - 1); for (auto j : fish[i - 1]) if (j.first != -1) states.push_back(j.first), states.push_back(j.first - 1); states.push_back(0); states.push_back(n); sort(states.begin(), states.end()); states.resize(unique(states.begin(), states.end()) - states.begin()); pre.clear(); pre.push_back(make_pair(-1, -inf)); for (auto j : dp[i - 1][1]) { ll l = upper_bound(fish[i - 1].begin(), fish[i - 1].end(), make_pair(j.first, inf)) - 1 - fish[i - 1].begin(); pre.push_back(make_pair(j.first, max(pre.back().second, j.second - fish[i - 1][l].second))); } suf.clear(); suf.push_back(make_pair(n + 1, -inf)); for (ll j = (ll)dp[i - 1][0].size() - 1; j >= 0; j--) { ll r = upper_bound(fish[i].begin(), fish[i].end(), make_pair(dp[i - 1][0][j].first, inf)) - fish[i].begin() - 1; suf.push_back(make_pair(dp[i - 1][0][j].first, max(suf.back().second, dp[i - 1][0][j].second + fish[i][r].second))); } reverse(suf.begin(), suf.end()); ll mx = -inf, mx1 = -inf; for (auto j : from0[i - 1]) mx = max(mx, j.second - j.first), mx1 = max(mx1, j.second); for (ll x : states) { dp[i][1].push_back(make_pair(x, -inf)); ll r = upper_bound(fish[i - 1].begin(), fish[i - 1].end(), make_pair(x, inf)) - 1 - fish[i - 1].begin(); ll pos = upper_bound(fish[i - 1].begin(), fish[i - 1].end(), make_pair(x, inf)) - fish[i - 1].begin() - 1; ll l = upper_bound(fish[i].begin(), fish[i].end(), make_pair(x, inf)) - fish[i].begin() - 1; dp[i][1].back().second = max(dp[i][1].back().second, (--upper_bound(pre.begin(), pre.end(), make_pair(x, inf)))->second + fish[i - 1][r].second); dp[i][1].back().second = max(dp[i][1].back().second, fish[i - 1][pos].second + mx); dp[i][1].back().second = max(dp[i][1].back().second, mx1); dp[i][0].push_back(dp[i][1].back()); dp[i][0].back().second = max(dp[i][0].back().second, (lower_bound(suf.begin(), suf.end(), make_pair(x, inf)))->second - fish[i][l].second); } assert(dp[i][1].size() == dp[i][0].size()); for (ll j = 0; j < dp[i - 1][0].size(); j++) { ll pos = upper_bound(fish[i].begin(), fish[i].end(), make_pair(dp[i - 1][0][j].first, inf)) - fish[i].begin() - 1; from0[i].push_back(make_pair(fish[i][pos].second, max(dp[i - 1][0][j].second, dp[i - 1][1][j].second) + fish[i][pos].second)); } } ll ans = 0; for (auto i : dp[n][0]) ans = max(ans, i.second); for (auto i : dp[n][1]) ans = max(ans, i.second); if (n == 1) assert(ans == 0); return ans; }
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