Draw a heap from the following array by performing the BUILD$-$HEAP function on the array

$($you have to determine whether this is a MAX heap or a MIN heap$)$: H $=[$D$,$ A$,$ T$,$ A$,$ S$,$ T$,$ R$,$ U$,$

C$,$ T$,$ U$,$ R$,$ E$].$ The ordering to use here is alphabetical order. It may help you to replace the

letters with numbers. Show all your working and the state of the array at each step.