This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include "rect.h"
using namespace std;
bool h[3][3][2500][2500];
bool v[2500][2500][3][3];
long long count_rectangles(std::vector<std::vector<int> > a) {
int n = a.size();
int m = a[0].size();
for(int i = 1; i < n - 1; i++){
for(int j = 1; j < m - 1; j++){
int mx = a[i][j];
for(int k = j; k < m - 1; k++){
mx = max(mx, a[i][k]);
h[i][i][j][k] = (mx < a[i][k + 1]);
}
mx = a[i][j];
for(int k = j; k > 0; k--){
mx = max(mx, a[i][k]);
h[i][i][k][j] &= (mx < a[i][k - 1]);
}
}
}
for(int i = 1; i < m - 1; i++){
for(int j = 1; j < n - 1; j++){
int mx = a[j][i];
for(int k = j; k < n - 1; k++){
mx = max(mx, a[k][i]);
v[i][i][j][k] = (mx < a[k + 1][i]);
}
mx = a[j][i];
for(int k = j; k > 0; k--){
mx = max(mx, a[k][i]);
v[i][i][k][j] &= (mx < a[k - 1][i]);
}
}
}
for(int i = 1; i < m - 1; i++){
for(int j = i; j < m - 1; j++){
for(int k = 1; k < n - 1; k++){
for(int l = k + 1; l < n - 1; l++){
h[k][l][i][j] = h[k][l - 1][i][j] & h[l][l][i][j];
}
}
}
}
for(int i = 1; i < n - 1; i++){
for(int j = i; j < n - 1; j++){
for(int k = 1; k < m - 1; k++){
for(int l = k + 1; l < m - 1; l++){
v[k][l][i][j] = v[k][l - 1][i][j] & v[l][l][i][j];
}
}
}
}
long long cnt = 0;
for(int i = 1; i < m - 1; i++){
for(int j = i; j < m - 1; j++){
for(int k = 1; k < n - 1; k++){
for(int l = k; l < n - 1; l++){
if(h[k][l][i][j] & v[i][j][k][l]) cnt++;
}
}
}
}
return cnt;
}
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