#include "rect.h"
using namespace std;
vector<vector<int>> b;
bool check_col(int x, int b_y, int t_y){
for(int y = b_y; y <= t_y; y++){
if(b[x][y] >= b[x][b_y-1] || b[x][y] >= b[x][t_y+1]) return false;
}
return true;
}
bool check_line(int y, int l_x, int r_x){
for(int x = l_x; x <= r_x; x++){
if(b[x][y] >= b[l_x-1][y] || b[x][y] >= b[r_x+1][y]) return false;
}
return true;
}
bool check_rect(int l_x, int r_x, int b_y, int t_y){
for(int x = l_x; x <= r_x; x++) if(!check_col(x, b_y, t_y)) return false;
for(int y = b_y; y <= t_y; y++) if(!check_line(y, l_x, r_x)) return false;
return true;
}
long long count_rectangles(std::vector<std::vector<int> > a) {
int w = a.size();
int h = a[0].size();
b = a;
long long counter = 0;
for(int l_x = 1; l_x < w-1; l_x++){
for(int r_x = l_x; r_x < w-1; r_x++){
for(int b_y = 1; b_y < h-1; b_y++){
for(int t_y = b_y; t_y < h-1; t_y++){
if(check_rect(l_x, r_x, b_y, t_y)) counter++;
}
}
}
}
return counter;
}
