Submission #924701

#TimeUsernameProblemLanguageResultExecution timeMemory
924701byunjaewooRectangles (IOI19_rect)C++17
72 / 100
5064 ms547736 KiB
#include "rect.h" #include <bits/stdc++.h> using namespace std; using ll=long long; const int Nmax=2510; int N, M, A[Nmax][Nmax], L[Nmax][Nmax], R[Nmax][Nmax], D[Nmax][Nmax], U[Nmax][Nmax]; vector<tuple<int, int, int, int>> X, Y; ll count_rectangles(vector<vector<int> > a) { N=a.size(), M=a[0].size(); for(int i=1; i<=N; i++) for(int j=1; j<=M; j++) A[i][j]=a[i-1][j-1]; for(int i=1; i<=N; i++) { stack<pair<int, int>> S; for(int j=1; j<=M; j++) { while(!S.empty() && S.top().first<=A[i][j]) S.pop(); if(!S.empty()) L[i][j]=S.top().second; S.push({A[i][j], j}); } while(!S.empty()) S.pop(); for(int j=M; j>=1; j--) { while(!S.empty() && S.top().first<=A[i][j]) S.pop(); if(!S.empty()) R[i][j]=S.top().second; S.push({A[i][j], j}); } } for(int j=1; j<=M; j++) { stack<pair<int, int>> S; for(int i=1; i<=N; i++) { while(!S.empty() && S.top().first<=A[i][j]) S.pop(); if(!S.empty()) U[i][j]=S.top().second; S.push({A[i][j], i}); } while(!S.empty()) S.pop(); for(int i=N; i>=1; i--) { while(!S.empty() && S.top().first<=A[i][j]) S.pop(); if(!S.empty()) D[i][j]=S.top().second; S.push({A[i][j], i}); } } for(int i=1; i<=N; i++) for(int j=1; j<=M; j++) { if(L[i][j] && R[i][j]) X.push_back({L[i][j]+1, R[i][j]-1, i, i}); if(U[i][j] && D[i][j]) Y.push_back({U[i][j]+1, D[i][j]-1, j, j}); } sort(X.begin(), X.end()), sort(Y.begin(), Y.end()); X.erase(unique(X.begin(), X.end()), X.end()); Y.erase(unique(Y.begin(), Y.end()), Y.end()); for(int i=(int)X.size()-2; i>=0; i--) { auto [l, r, y, v]=X[i]; auto [ll, rr, yy, vv]=X[i+1]; if(l==ll && r==rr && y+1==yy) X[i]={l, r, y, vv}; } for(int i=(int)Y.size()-2; i>=0; i--) { auto [l, r, x, v]=Y[i]; auto [ll, rr, xx, vv]=Y[i+1]; if(l==ll && r==rr && x+1==xx) Y[i]={l, r, x, vv}; } vector<tuple<int, int, int, int>> ret; for(int i=1; i<=N; i++) for(int j=1; j<=M; j++) { if(!L[i][j] || !R[i][j] || !U[i][j] || !D[i][j]) continue; auto p=lower_bound(X.begin(), X.end(), make_tuple(L[i][j]+1, R[i][j]-1, U[i][j]+1, 0)); if(p==X.end()) continue; auto [l, r, y, v]=(*p); if(l!=L[i][j]+1 || r!=R[i][j]-1 || y!=U[i][j]+1 || v<D[i][j]-1) continue; auto q=lower_bound(Y.begin(), Y.end(), make_tuple(U[i][j]+1, D[i][j]-1, L[i][j]+1, 0)); if(q==Y.end()) continue; auto [ll, rr, xx, vv]=(*q); if(ll!=U[i][j]+1 || rr!=D[i][j]-1 || xx!=L[i][j]+1 || vv<R[i][j]-1) continue; ret.push_back({L[i][j], R[i][j], U[i][j], D[i][j]}); } sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret.size(); }
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