This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#include "rect.h"
//#include"grader.cpp"
int nxt[2505][2505],prv[2505][2505];
long long count_rectangles(vector<vector<int>>a) {
int n=a.size();
int m=a[0].size();
if(n<3||m<3)return 0;
vector<vector<pair<int,int>>>v(n);
for(int i=1;i<n-1;i++){
vector<int>pos;
for(int j=m-1;j>=0;j--){
while(!pos.empty()&&a[i][pos.back()]<=a[i][j]){
v[i].push_back({j,pos.back()});
pos.pop_back();
}
if(!pos.empty())v[i].push_back({j,pos.back()});
nxt[i][j]=(pos.empty()?5000:pos.back());
pos.push_back(j);
}
pos.clear();
for(int j=0;j<m;j++){
while(!pos.empty()&&a[i][pos.back()]<=a[i][j])pos.pop_back();
prv[i][j]=(pos.empty()?-1:pos.back());
pos.push_back(j);
}
}
long long res=0;
for(int i=1;i<n-1;i++){
for(auto[st,en]:v[i]){
if(en-st==1){
continue;
}
int mx[en-st+5]={};
memset(mx,-1,sizeof(mx));
for(int dep=0;i+dep<n-1;dep++){
if(nxt[i+dep][st]<en||prv[i+dep][en]>st){
break;
}
int cnt=0,flag=1;
for(int j=st+1;j<en&&flag;j++){
mx[j-st]=max(mx[j-st],a[i+dep][j]);
if(mx[j-st]>=a[i-1][j])flag=0;
}
if(!flag){
break;
}
for(int j=st+1;j<en;j++)cnt+=mx[j-st]>=a[i+dep+1][j];
if(cnt==0)res++;
}
}
}
return res;
}
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