$9.(8\%)$ Consider the following $500$x$500$ RGB color image, where the squares are pure red, green, and blue.

THUE

$($a$)(5\%)$ Suppose that we convert this image to HSI, blur the H component image with a $25$x$25$ averaging mask, and convert back to RGB$.$ What would the result look like?$)$

$($b$)(3\%)$ Repeat the above procedure but blurring only the saturation $)$ component this time