Max$-$Heapify $(3$ points$)$: Illustrate the operation of MAX$-$HEAPIFY$($A$,3)$ on the array

A $=(6,8,10,9,7,5,4,13,23,1,5,7,12,4)$

Write your steps, and count the number of total swap operations $($exchange of keys$)$

$$ The first row is the index

$$ The second row is the array value $($In a heap, the key$)$