Submission #296608

#TimeUsernameProblemLanguageResultExecution timeMemory
296608Osama_AlkhodairyRectangles (IOI19_rect)C++17
72 / 100
5053 ms430164 KiB
#include <bits/stdc++.h> #include "rect.h" //~ #include "grader.cpp" using namespace std; #define ll long long const int N = 2501; const int INF = (int)1e9; int n, m; vector <vector <int> > a; set <pair <pair <int, int>, pair <int, int> > > vis; vector <vector <int> > us, rs, ds, ls, ue, re, de, le; vector <int> calc(vector <int> &a, int b, int c){ //~ b = 0 for > //~ b = 1 for >= //~ c = 0 for forward //~ c = 1 for backward int n = a.size(); vector <int> inds; for(int i = 0 ; i < n ; i++){ if(c == 0) inds.push_back(i); else inds.push_back(n - i - 1); } vector <int> ret(n); vector <int> cur; for(auto &i : inds){ while(cur.size() && a[i] >= a[cur.back()] + b){ cur.pop_back(); } if(cur.size() == 0) ret[i] = -1; else ret[i] = cur.back(); cur.push_back(i); } return ret; } bool check(int r1, int c1, int r2, int c2){ if(r1 == -1 || c1 == -1 || r2 == -1 || c2 == -1) return 0; if(vis.count(make_pair(make_pair(r1, c1), make_pair(r2, c2)))) return 0; vis.insert(make_pair(make_pair(r1, c1), make_pair(r2, c2))); int v = INF; for(int c = c1 + 1 ; c < c2 ; c++){ if(de[r1][c] != -1) v = min(v, de[r1][c]); } if(v < r2) return 0; v = -INF; for(int c = c1 + 1 ; c < c2 ; c++){ if(ue[r2][c] != -1) v = max(v, ue[r2][c]); } if(v > r1) return 0; v = INF; for(int r = r1 + 1 ; r < r2 ; r++){ if(re[r][c1] != -1) v = min(v, re[r][c1]); } if(v < c2) return 0; v = -INF; for(int r = r1 + 1 ; r < r2 ; r++){ if(le[r][c2] != -1) v = max(v, le[r][c2]); } if(v > c1) return 0; return 1; } long long count_rectangles(std::vector<std::vector<int> > A) { a = A; n = a.size(); m = a[0].size(); us.resize(n, vector <int>(m)); ue.resize(n, vector <int>(m)); ds.resize(n, vector <int>(m)); de.resize(n, vector <int>(m)); ls.resize(n, vector <int>(m)); le.resize(n, vector <int>(m)); rs.resize(n, vector <int>(m)); re.resize(n, vector <int>(m)); for(int i = 0 ; i < n ; i++){ vector <int> cur = a[i]; ls[i] = calc(cur, 0, 0); le[i] = calc(cur, 1, 0); rs[i] = calc(cur, 0, 1); re[i] = calc(cur, 1, 1); } for(int j = 0 ; j < m ; j++){ vector <int> cur(n); for(int i = 0 ; i < n ; i++){ cur[i] = a[i][j]; } vector <int> g; g = calc(cur, 0, 0); for(int i = 0 ; i < n ; i++){ us[i][j] = g[i]; } g = calc(cur, 1, 0); for(int i = 0 ; i < n ; i++){ ue[i][j] = g[i]; } g = calc(cur, 0, 1); for(int i = 0 ; i < n ; i++){ ds[i][j] = g[i]; } g = calc(cur, 1, 1); for(int i = 0 ; i < n ; i++){ de[i][j] = g[i]; } } int ret = 0; for(int i = 0 ; i < n ; i++){ for(int j = 0 ; j < m ; j++){ ret += check(us[i][j], ls[i][j], ds[i][j], rs[i][j]); } } return ret; }
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