#include "rect.h"
using namespace std;
long long count_rectangles(std::vector<std::vector<int> > a) {
short n = a.size();
short m = a[0].size();
vector<vector<vector<int>>> rmx(n, vector<vector<int>>(m, vector<int>(m)));
for (short i = 1; i < n - 1; ++i) {
for (short c1 = 1; c1 < m-1; ++c1) {
rmx[i][c1][c1] = a[i][c1];
for (short c2 = c1+1; c2 < m-1; ++c2) {
rmx[i][c1][c2] = max(rmx[i][c1][c2-1], a[i][c2]);
}
}
}
vector<vector<vector<int>>> cmx(m, vector<vector<int>>(n, vector<int>(n)));
for (short i = 1; i < m - 1; ++i) {
for (short r1 = 1; r1 < n-1; ++r1) {
cmx[i][r1][r1] = a[r1][i];
for (short r2 = r1+1; r2 < n-1; ++r2) {
cmx[i][r1][r2] = max(cmx[i][r1][r2-1], a[r2][i]);
}
}
}
long long ans = 0;
for (short r1 = 1; r1 < n-1; ++r1) {
for (short c1 = 1; c1 < m-1; ++c1) {
for (short r2 = r1; r2 < n-1; ++r2) {
for (short c2 = c1; c2 < m-1; ++c2) {
bool flag = true;
for (int i = r1; i <= r2 && flag; ++i) {
if (rmx[i][c1][c2] >= a[i][c1-1]) flag = false;
if (rmx[i][c1][c2] >= a[i][c2+1]) flag = false;
}
for (int i = c1; i <= c2 && flag; ++i) {
if (cmx[i][r1][r2] >= a[r1-1][i]) flag = false;
if (cmx[i][r1][r2] >= a[r2+1][i]) flag = false;
}
if (flag) ans++;
}
}
}
}
return ans;
}
