#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
const int N=205;
int n,m,a[N][N],pr[N][N][N],pc[N][N][N];
long long count_rectangles(vector<vector<int>> v){
n=v.size();
m=v[0].size();
if (n<=2 || m<=2) return 0LL;
for (int i=0;i<n;i++) for (int j=0;j<m;j++) a[i+1][j+1]=v[i][j];
for (int i=2;i<n;i++){
for (int j=2;j<m;j++){
int mx=a[i][j];
for (int k=j;k<m;k++){
mx=max(mx,a[i][k]);
pr[i][j][k]=pr[i-1][j][k]+bool(mx<a[i][j-1] && mx<a[i][k+1]);
//if (mx<a[i][j-1] && mx<a[i][k+1]) cout<<i<<' '<<j<<' '<<k<<endl;
}
}
}
for (int i=2;i<m;i++){
for (int j=2;j<n;j++){
int mx=a[j][i];
for (int k=j;k<n;k++){
mx=max(mx,a[k][i]);
pc[i][j][k]=pc[i-1][j][k]+bool(mx<a[j-1][i] && mx<a[k+1][i]);
//if (mx<a[j-1][i] && mx<a[k+1][i]) cout<<i<<' '<<j<<' '<<k<<endl;
}
}
}
long long ans=0;
for (int i=2;i<n;i++){
for (int j=2;j<m;j++){
for (int k=i;k<n;k++){
for (int l=j;l<m;l++){
ans+=bool(pr[k][j][l]-pr[i-1][j][l]==k-i+1 && pc[l][i][k]-pc[j-1][i][k]==l-j+1);
}
}
}
}
return ans;
}
