$9.(16$p$)($Median Filtering$)$ Write your own Matlab function$($with a double for loop$)$ to make a $3$x$3$ pixel median filter $($No padding, DO NOT USE medfilt, medfilt$2,$ ordfilt$2,$ imfilter, conv$2$ functions$).$ Denoise your salt$\backslash$&pepper noised images in Part $\backslash (\backslash$mathbf$\{8\}\backslash )$ with your median filter. Apply $3$x$3$ averaging filter on the same salt$\backslash$&pepper noised images. Display and report the obtained images side by side in the same figure window together with their titles. Comment and compare the results. What can you do to filter more noise with median and averaging filters from the images?