#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
#define F first
#define S second
#define endl '\n'
#define all(x) (x).begin(),(x).end()
#ifdef dremix
#define p(x) cerr<<#x<<" = "<<x<<endl;
#define p2(x,y) cerr<<#x<<" , "<<#y<<" = "<<x<<" , "<<y<<endl;
#define pp(x) cerr<<#x<<" = ("<<x.F<<" , "<<x.S<<")"<<endl;
#define pv(x) cerr<<#x<<" = {";for(auto u : x)cerr<<u<<", ";cerr<<"}"<<endl;
#define ppv(x) cerr<<#x<<" = {";for(auto u : x)cerr<<u.F<<"-"<<u.S<<", ";cerr<<"}"<<endl;
#else
#define p(x)
#define p2(x,y)
#define pp(x)
#define pv(x)
#define ppv(x)
#endif
#define fastio ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
const int maxp = 22;
const ld EPS = 1e-18;
const ll INF = 1e18;
const int MOD = 1e9+7;
const int N = 2e5+1;
long long count_rectangles(vector<vector<int> > a) {
int n = a.size();
int m = a[0].size();
int i,j,ii,jj;
ll ans = 0;
for(i=1;i<n-1;i++)
for(j=1;j<m-1;j++){
int cols[m]={};
bool rows[m];
for(ii=j;ii<m-1;ii++)rows[ii] = true;
for(ii=i;ii<n-1;ii++){
bool flagCol = true;
int maxi = 0;
for(jj=j;jj<m-1;jj++){
if(i==4 && j==2){
pv(rows)
pv(cols)
p2(flagCol,maxi)
}
/// check validity
cols[jj] = max(cols[jj],a[ii][jj]);
if(cols[jj]>=a[i-1][jj] || cols[jj]>=a[ii+1][jj])
flagCol = false;
maxi = max(maxi,a[ii][jj]);
if(maxi>=a[ii][j-1] || maxi>=a[ii][jj+1])
rows[jj] = false;
if(flagCol && rows[jj]){
ans++;
///p2(i,j)
///p2(ii,jj)
}
}
}
}
return ans;
/// g++ grader.cpp rect.cpp -Ddremix
}
