Given the array [De@45, Ce$58, Jy#23, A% 19, L2&7q). Let, A = 65, B = 66, C = 67 ....... Y = 89, Z = 90; a = 97, b = 98, c = 99, ......, y = 121, z = 122; @ = 64, # = 35, $ = 36, % = 37, & = 38; 0 = 0, 1 = 1, .... 9 = 9.

a. Draw a hashtable of length 5. Using the hash function f, where f(element) = (summation of the values of the alphabets and symbols - product of the digits 1 % length of the hashtable. Fill up the hashtable using Linear Probing where necessary. [Note: You must show your work for partial credit.]

b. Write a function to create an auxiliary array of key index search that takes an array containing the (summation of the values of the alphabets and symbols) of the elements of the array given in part a.