A PART file with Part$-$number as the key filed includes records with the following Part$-$number

values: $23,65,37,60,46,92,48,71,56,59,18,21,10,74,78,15,16,20,24,28,39,43,47,50,69,$

$75,8,49,33,38.$

a$.$ Suppose that the search field values are inserted in the given order in a B$+-$tree of order p $=4$ and Pleaf $=3$;

show how the tree will expand and what the final tree will look like.

b$.$ Suppose the following search field values are deleted in the order from the B$+-$tree; show how the tree will

shrink and show the final tree. The deleted values are: $75,65,43,18,20,92,59,37.$