Consider an input of size $66$ and a kernel of size $33$ below.

Kernel

$(7$points$)$ Compute the convolution using stride $3$ and padding $0.$

$(7$points$)$ Compute the convolution using stride $2$ and padding $2.$

$(7$points$)$ Using the result of $2),$ compute the max pooling using a kernel of size $3$ with stride $2$ and

padding $1.$

$(7$points$)$ Using the result of $2),$ compute the avg. pooling using a kernel of size $2$ with stride $1$ and

padding $0.$