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"
#ifndef EVAL
#include "grader.cpp"
#endif
#include <bits/stdc++.h>
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("O3")
using namespace std;
typedef long long ll;
const int N = 2505;
int n, m, tr[N][N], tc[N][N];
vector<vector<int>> a;
inline bool check(int r1, int c1, int r2, int c2){
int l, r;
for(int i=r1;i<=r2;i++){
int t = min(a[i][c1-1], a[i][c2+1]);
l=c1+m,r=c2+m;
int res=0;
for(;l<=r;l>>=1,r>>=1){
if((l&1))res=max(res,tr[i][l++]);
if(!(r&1))res=max(res,tr[i][r--]);
}
if(res >= t)return false;
}
for(int i=c1;i<=c2;i++){
int t = min(a[r1-1][i], a[r2+1][i]);
l=r1+n,r=r2+n;
int res=0;
for(;l<=r;l>>=1,r>>=1){
if((l&1))res=max(res,tc[i][l++]);
if(!(r&1))res=max(res,tc[i][r--]);
}
if(res >= t)return false;
}
return true;
}
ll count_rectangles(vector<vector<int>> a){
::a = a;
n = a.size();
m = a[0].size();
for(int i=0;i<n;i++){
for(int j=0;j<m;j++){
tr[i][j+m] = a[i][j];
}for(int j=m-1;j>0;j--){
tr[i][j] = max(tr[i][j<<1],tr[i][j<<1|1]);
}
}
for(int i=0;i<m;i++){
for(int j=0;j<n;j++){
tc[i][j+n] = a[j][i];
}for(int j=n-1;j>0;j--){
tc[i][j] = max(tc[i][j<<1],tc[i][j<<1|1]);
}
}
ll ans = 0;
for(int i=1;i<n-1;i++){
for(int j=1;j<m-1;j++){
for(int I=i;I<n-1;I++){
for(int J=j;J<m-1;J++){
ans += check(i,j,I,J);
}
}
}
}return ans;
}
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