$(28$ points$)$ Use the following Linear Hashing index and answer the questions that follow:

$($show all work$)$

$\backslash$table$[[$h$1,$h$0,$Primary Page,Overflow Page$],[000,00,20*,24*,,,],[001,01,9*,25*,13*,,],[010,10,22*,6*,14*,10*,],[011,11,39*,11*,19*,7*,],[$d$8,$Mod$4,,,,,]]$

I. Show the resulting index after inserting the entry $2^{**}$

II$.$ Using the index result from part I, show the resulting index after inserting entry $18*$

III. Using the index result from part II$,$ show the resulting index after inserting entry $32*$

IV$.$ Using the index result from part II$,$ show the resulting index after inserting entry ${15}^{**}$