Consider the following list: $32,24,17,47,53,12,8,26.$ In each of the following show enough details so that one can follow how the sort is done.

$($a$)(4$ pts$.)$ Perform Selection Sort on this list. Indicate how many compares and exchanges you do in each iteration and in total.

$($b$)(4$ pts$.)$ Perform Insertion Sort on this list. Indicate how many compares and exchanges you do in each iteration and in total.

$($c$)(4$ pts$.)$ Perform Shellsort on this list by doing a $4-$sort, then a $1-$sort. Indicate how many compares and exchanges you do in each iteration and in total.

$($d$)(4$ pts$.)$ Perform Mergesort on this list by doing a $4-$sort, then a $1-$sort. Indicate how many compares and exchanges you do in each iteration and in total.