Given a $4 \times 4$ image, find the $4 \times 4$ highpass filtered output using the $3 \times 3$ Laplacian filter with the borders replicated.
$$
x(m, n)=\left[\begin{array}{llll}
39 & 40 & 35 & 33 \\
31 & 40 & 39 & 37 \\
34 & 38 & 41 & 43 \\
37 & 39 & 42 & 43
\end{array}\right]
$$