Submission #821051

#TimeUsernameProblemLanguageResultExecution timeMemory
821051dashkaCatfish Farm (IOI22_fish)C++17
100 / 100
251 ms60324 KiB
#include "fish.h" #include <bits/stdc++.h> using namespace std; long long max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W) { vector<vector<long long>> fishes(N+1); vector<vector<int>> states(N+1, {0}); for (int i = 0; i < M; ++i) { ++Y[i]; for (int j = max(X[i]-1, 0); j <= min(X[i]+1, N-1); ++j) { states[j].push_back(Y[i]); } } for (int i = 0; i <= N; ++i) { sort(states[i].begin(), states[i].end()); states[i].erase(unique(states[i].begin(), states[i].end()), states[i].end()); fishes[i].resize(states[i].size()); } for (int i = 0; i < M; ++i) { int x = X[i]; int y = lower_bound(states[x].begin(), states[x].end(), Y[i]) - states[x].begin(); fishes[x][y] += W[i]; } vector<vector<long long>> dp_up(N+1), dp_down(N+1); for (int i = 0; i <= N; ++i) { int sz = states[i].size(); dp_up[i].assign(sz, 0); dp_down[i].assign(sz, 0); if (i > 1) { long long best = max(dp_up[i-2][0], dp_down[i-2][0]), sum = 0; for (int j = 0, lef = 0, mid = 0; j < sz; ++j) { while (lef+1 < (int)states[i-2].size() && states[i-2][lef+1] <= states[i][j]) { ++lef; while (mid+1 < (int)states[i-1].size() && states[i-1][mid+1] <= states[i-2][lef]) { ++mid; best += fishes[i-1][mid]; sum += fishes[i-1][mid]; } best = max(best, max(dp_up[i-2][lef], dp_down[i-2][lef]) + sum); } dp_up[i][j] = max(dp_up[i][j], best); } best = 0; sum = accumulate(fishes[i-1].begin(), fishes[i-1].end(), 0LL); for (int j = sz-1, lef = states[i-2].size(), mid = states[i-1].size(); j >= 0; --j) { while (lef > 0 && states[i-2][lef-1] >= states[i][j]) { --lef; while (mid > 0 && states[i-1][mid-1] > states[i-2][lef]) { --mid; sum -= fishes[i-1][mid]; } best = max(best, max(dp_up[i-2][lef], dp_down[i-2][lef]) + sum); } dp_up[i][j] = max(dp_up[i][j], best); } } if (i > 0) { long long best = dp_up[i-1][0], sum = 0; for (int j = 0, lef = 0; j < sz; ++j) { while (lef+1 < (int)states[i-1].size() && states[i-1][lef+1] <= states[i][j]) { ++lef; best += fishes[i-1][lef]; best = max(best, dp_up[i-1][lef]); } dp_up[i][j] = max(dp_up[i][j], best); } best = 0; sum = accumulate(fishes[i].begin(), fishes[i].end(), 0LL); for (int j = sz-1, lef = states[i-1].size(); j >= 0; --j) { while (lef > 0 && states[i-1][lef-1] >= states[i][j]) { --lef; best = max(best, max(dp_down[i-1][lef], dp_up[i-1][lef]) + sum); } dp_down[i][j] = max(dp_down[i][j], best-sum); sum -= fishes[i][j]; } } } return max(dp_up[N][0], dp_down[N][0]); }
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