Submission #821719

#TimeUsernameProblemLanguageResultExecution timeMemory
821719rembocoderAliens (IOI16_aliens)C++17
16 / 100
3 ms340 KiB
#include "aliens.h" #include <bits/stdc++.h> using namespace std; bool cmp(const pair<int, int>& a, const pair<int, int>& b) { if (a.first != b.first) { return a.first < b.first; } return a.second > b.second; } const long long inf = 2e18; long long div_up(long long a, long long b) { if (a < 0) { return a / b; } return (a + b - 1) / b; } long long take_photos(int n, int m, int k, vector<int> x, vector<int> y) { for (int i = 0; i < n; i++) { if (x[i] > y[i]) { swap(x[i], y[i]); } } vector<pair<int, int>> pairs; for (int i = 0; i < n; i++) { pairs.push_back({x[i], y[i]}); } sort(pairs.begin(), pairs.end(), cmp); vector<pair<int, int>> new_pairs; new_pairs.push_back({-1, -1}); int max_y = -1; for (int i = 0; i < n; i++) { if (max_y < pairs[i].second) { max_y = pairs[i].second; new_pairs.push_back(pairs[i]); } } n = new_pairs.size(); vector<long long> l(n), r(n); for (int i = 0; i < n; i++) { l[i] = new_pairs[i].first; r[i] = new_pairs[i].second + 1; } k = min(k, n - 1); vector<long long> dp(n, inf); dp[0] = 0; for (int jumps = 0; jumps < k; jumps++) { vector<long long> a(n), b(n); for (int i = 0; i + 1 < n; i++) { a[i] = dp[i] + l[i + 1] * l[i + 1] - max(0LL, r[i] - l[i + 1]) * max(0LL, r[i] - l[i + 1]); b[i] = 2 * l[i + 1]; } vector<long long> new_dp(n, inf); vector<pair<long long, int>> ch; ch.push_back({-1, jumps}); for (int i = jumps + 1; i < n; i++) { int from = ch[upper_bound(ch.begin(), ch.end(), make_pair(r[i], n)) - ch.begin() - 1].second; new_dp[i] = r[i] * r[i] + a[from] - b[from] * r[i]; if (i + 1 == n) { break; } while (!ch.empty()) { int last = ch.back().second; long long x = ch.back().first; if (a[last] - b[last] * x < a[i] - b[i] * x) { break; } ch.pop_back(); } int last = ch.back().second; long long x = div_up(a[i] - a[last], b[i] - b[last]); ch.push_back({x, i}); } dp = new_dp; } return dp[n - 1]; }
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