Fixed & Variable Stacks and Double Linked$-$Lists $(100$ pts$)$

A$)$ Fixed$-$sized Stack $($fixed stack code can be found in the "Assignment$5\_$A$"$ IntelliJ project$).$

Your task for Part A is to fully implement the "BookFixedStack" class. The

BookFixedStack class is a fixed stack that holds Book objects. This stack class

is initialized to a fixed size $-$ the "top" variable indicates the top of the stack.

$($Note that if the stack is empty, top should be $-1).$

The fixed stack methods that need to be implemented are as follows:

public boolean push$($Book book$)$

Push "book" onto the stack; return null of the stack is full.

public Book pop$()$

Example Stack

Remove the top Book from the stack and return it$.$ Return null if the stack is empty.

public Book peek$()$

Return a reference to the top Book on the stack. Return null if the stack is empty.

public boolean isEmpty$()$

Return true of the stack is empty, false otherwise.

public boolean isFull$()$

Return true of the stack is full, false otherwise.

The "main" method in the Assignment$5\_$A class will test your BookFixedStack implementation, and

will indicate pass$/$fail at each step.