Submission #477618

#TimeUsernameProblemLanguageResultExecution timeMemory
477618JovanBAliens (IOI16_aliens)C++17
0 / 100
1 ms208 KiB
#include "aliens.h" #include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; const ll INF = 1000000000000000000LL; const int N = 1000000; struct line{ ll k, n; ll eval(ll x){ return k*x + n; } ld intersect(line g){ return 1.0*(n - g.n)/(g.k - k); } } seg[4*N+5]; ll dp[N+5]; ll presek(pair <ll, ll> a, pair <ll, ll> b){ ll h = max(0LL, a.second - b.first + 1); return h*h; } void dodaj(deque <line> &q, line k){ while(q.size() > 1){ line g = q.back(); q.pop_back(); ld x1 = q.back().intersect(g); ld x2 = g.intersect(k); if(x1 < x2){ q.push_back(g); break; } } q.push_back(k); } ll query(deque <line> &q, ll x){ while(q.size() > 1 && q[0].eval(x) <= q[1].eval(x)) q.pop_front(); return q.front().eval(x); } long long take_photos(int n, int m, int k, std::vector<int> _r, std::vector<int> _c) { vector <pair <int, int>> points; for(int i=0; i<n; i++){ if(_r[i] > _c[i]) swap(_r[i], _c[i]); points.push_back({_r[i] + 1, _c[i] + 1}); } sort(points.begin(), points.end(), [](pair <int, int> a, pair <int, int> b){ if(a.second == b.second) return a.first < b.first; return a.second > b.second; }); vector <pair <ll, ll>> vec; for(auto c : points){ if(vec.empty() || c.first < vec.back().first) vec.push_back(c); } reverse(vec.begin(), vec.end()); n = vec.size(); ll res = INF; for(int turns=1; turns<=k; turns++){ deque <line> q; if(turns == 1) dodaj(q, {-2*(vec[0].first - 1), vec[0].first*vec[0].first - 2*vec[0].first}); for(int i=0; i<n; i++){ ll g = dp[i]; dp[i] = 1 + vec[i].second*vec[i].second + query(q, vec[i].second); if(i != n-1 && turns != 1) dodaj(q, {-2*(vec[i+1].first - 1), vec[i+1].first*vec[i+1].first - 2*vec[i+1].first - presek(vec[i], vec[i+1]) + g}); } res = min(res, dp[n-1]); while(!q.empty()) q.pop_back(); } return res; }
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