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

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

$($c$)$ 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$)$ 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.