Example $8$

a$)$ Apply quicksort algorithm to place only the first pivot element

$(14)$ to its correct position $($sorting will be in non$-$increasing order

from the largest to the smallest$)$

$14,21,8,13,5,19,24,18,28,11,7,45,9$

Show each step clearly to get credits. Do NOT only write the

resulting position but show the intermediate steps clearly.

b$)$ Count and write the total number of comparison operations

performed to place $14$ to its correct position.