#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
const int N = 2.5e3 + 10;
int a[N][N], n, m;
bool check(int i1, int j1, int i2, int j2){
for(int i = i1; i <= i2; i++){
for(int j = j1; j <= j2; j++){
if(a[i][j] >= a[i1-1][j] || a[i][j] >= a[i2 + 1][j] || a[i][j] >= a[i][j1 - 1] || a[i][j] >= a[i][j2 + 1]){
return 0;
}
}
}
return 1;
}
long long count_rectangles(std::vector<std::vector<int> > A) {
for(int i = 1; i <= A.size(); i++){
n = A.size();
m = A[i - 1].size();
for(int j = 1; j <= A[i - 1].size(); j++){
a[i][j] = A[i - 1][j - 1];
}
}
cerr << n << ' ' << m << endl;
int ans = 0;
for(int i1 = 2; i1 < n; i1++){
for(int j1 = 2; j1 < m; j1++){
for(int i2 = i1; i2 < n; i2++){
for(int j2 = j1; j2 < m; j2++){
if(check(i1, j1, i2, j2)){
ans++;
}
}
}
}
}
return ans;
}