제출 #402042

#제출 시각아이디문제언어결과실행 시간메모리
402042b00n0rpRectangles (IOI19_rect)C++17
37 / 100
5099 ms699296 KiB
#include "rect.h" #include <bits/stdc++.h> using namespace std; #define ll long long #define vi vector<int> #define pb push_back #define REP(i,n) for(int i = 0; i < n; i++) #define FOR(i,a,b) for(int i = a; i < b; i++) #define FORD(i,a,b) for(int i = a; i >= b; i --) #define pii pair<int,int> #define F first #define S second #define all(v) v.begin(),v.end() #define SZ(v) (int)v.size() const int MX = 2505; int n,m; vector<vi> A; int gl[MX][MX],gr[MX][MX],gu[MX][MX],gd[MX][MX]; vi rows[MX][MX],cols[MX][MX]; vector<pii> row_seg[MX][MX],col_seg[MX][MX]; bool check_rectangle(int x1,int x2,int y1,int y2){ auto it = lower_bound(all(row_seg[y1-1][y2+1]),make_pair(x1,MX)); if(it == row_seg[y1-1][y2+1].begin()) return false; it--; if((*it).S < x2) return false; it = lower_bound(all(col_seg[x1-1][x2+1]),make_pair(y1,MX)); if(it == col_seg[x1-1][x2+1].begin()) return false; it--; if((*it).S < y2) return false; return true; } ll count_rectangles(vector<vi> a) { n = a.size(); m = a[0].size(); A = a; if(n <= 2 or m <= 2) return 0; ll ans = 0; REP(i,n){ stack<int> st; REP(j,m){ gl[i][j] = gr[i][j] = gu[i][j] = gd[i][j] = -1; } REP(j,m){ while(st.size() and a[i][st.top()] <= a[i][j]){ gr[i][st.top()] = j; st.pop(); } st.push(j); } while(!st.empty()) st.pop(); FORD(j,m-1,0){ while(st.size() and a[i][st.top()] <= a[i][j]){ gl[i][st.top()] = j; st.pop(); } st.push(j); } set<pii> s; REP(j,m){ if(gr[i][j] != -1 and gr[i][j] != j+1) s.insert({j,gr[i][j]}); if(gl[i][j] != -1 and gl[i][j] != j-1) s.insert({gl[i][j],j}); } for(auto x:s){ // cout << "row: " << i << " -> " << x.F << " " << x.S << "\n"; rows[x.F][x.S].pb(i); } } REP(j,m){ stack<int> st; REP(i,n){ while(st.size() and a[st.top()][j] <= a[i][j]){ gd[st.top()][j] = i; st.pop(); } st.push(i); } while(!st.empty()) st.pop(); FORD(i,n-1,0){ while(st.size() and a[st.top()][j] <= a[i][j]){ gu[st.top()][j] = i; st.pop(); } st.push(i); } set<pii> s; REP(i,n){ if(gd[i][j] != -1 and gd[i][j] != i+1) s.insert({i,gd[i][j]}); if(gu[i][j] != -1 and gu[i][j] != i-1) s.insert({gu[i][j],i}); } for(auto x:s){ cols[x.F][x.S].pb(j); } } REP(i,m){ FOR(j,i+2,m){ REP(k,SZ(rows[i][j])){ if(k == 0 or rows[i][j][k] > rows[i][j][k-1]+1) row_seg[i][j].pb({rows[i][j][k],rows[i][j][k]}); else row_seg[i][j].back().S++; } } } REP(i,n){ FOR(j,i+2,n){ REP(k,SZ(cols[i][j])){ if(k == 0 or cols[i][j][k] > cols[i][j][k-1]+1) col_seg[i][j].pb({cols[i][j][k],cols[i][j][k]}); else col_seg[i][j].back().S++; } } } FOR(r1,1,n-1){ FOR(r2,r1,n-1){ FOR(c1,1,m-1){ FOR(c2,c1,m-1){ if(check_rectangle(r1,r2,c1,c2)) ans++; } } } } return ans; }
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