Convolutional neural network. Answer the following questions for a CNN that processes RGB color images with the following input size and two layers. $$

Input:$256\backslash$times $256$RGB$$image

Conv$1$: $2$D convolution,$$K$=9\backslash$times $9$filters$,$No$=12$output channels, valid mode.

MaxPool$1$: $2$D max pooling,$$K$=4\backslash$times $4$pool size, horizontal and vertical stride$$s$=2.$

$($a$)$ What are the dimensions of the input and the outputs for the first two layers for a mini$-$batch of $100$ images?

$($b$)$How many parameters are there in the Conv$1$ and MaxPool$1$ layers?

convolutional neural network $($CNN$)$ processing RGB color images: