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 "rect.h"
//#include "grader.cpp"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define fr first
#define sc second
const int N=2505;
int a[N][N],b[N],c[N],used[N][N];
int l,r,lx,rx,cnt,n,m;
void dfs(int x, int y){
if(x==0 || y==0) return;
if(x>n || y>m) return;
if(a[x][y] || used[x][y]) return;
used[x][y]=1;
cnt++;
l=min(l,x);
r=max(r,x);
lx=min(lx,y);
rx=max(rx,y);
if(!used[x+1][y]) dfs(x+1,y);
if(!used[x-1][y]) dfs(x-1,y);
if(!used[x][y+1]) dfs(x,y+1);
if(!used[x][y-1]) dfs(x,y-1);
}
long long count_rectangles(vector<vector<int>> A) {
n=A.size();
m=A[0].size();
if(min(n,m)<3) return 0;
int mx=0;
for(int i=0;i<n;i++){
for(int j=0;j<m;j++)
a[i+1][j+1]=A[i][j],mx=max(mx,A[i][j]);
}
int ans=0;
if(mx<=1){
for(int i=2;i<n;i++){
for(int j=2;j<m;j++){
if(used[i][j]) continue;
l=1e9;
r=0;
lx=1e9;
rx=0;
cnt=0;
dfs(i,j);
if(l==1 || r==n) continue;
if(lx==1 || rx==m) continue;
if(cnt==(r-l+1)*(rx-lx+1))
ans++;
}
}
}
else if(n<=3 || (n<=2500 && m<=2500)){
for(int l=2;l<n;l++){
for(int r=l;r<n;r++){
for(int i=1;i<=m;i++){
if(l==r) b[i]=a[l][i];
else b[i]=max(b[i],a[r][i]);
}
for(int i=2;i<m;i++){
for(int j=i;j<m;j++){
if(b[j]>=min(a[l-1][j],a[r+1][j])) break;
bool cnt=1;
for(int k=l;k<=r;k++){
if(i==j) c[k]=a[k][j];
else c[k]=max(c[k],a[k][j]);
if(c[k]>=min(a[k][i-1],a[k][j+1])){
cnt=0;
}
}
ans+=cnt;
}
}
}
}
}
return ans;
}
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