#include "rect.h"
#include <iostream>
#include <vector>
using namespace std;
long long count_rectangles(vector<vector<int>> a) {
int n = a.size(), m = a[0].size();
long long count = 0;
for (int r1 = 1; r1 < n - 1; ++r1) {
for (int r2 = r1; r2 < n - 1; ++r2) {
for (int c1 = 1; c1 < m - 1; ++c1) {
for (int c2 = c1; c2 < m - 1; ++c2) {
bool valid = true;
for (int i = r1; i <= r2 && valid; ++i) {
for (int j = c1; j <= c2 && valid; ++j) {
int h = a[i][j];
if (!(h < a[i][c1 - 1] && h < a[i][c2 + 1] &&
h < a[r1 - 1][j] && h < a[r2 + 1][j])) {
valid = false;
}
}
}
if (valid) count++;
}
}
}
}
return count;
}
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