We learned about two implementations of the List ADT, the array and the linked list…

  1. We learned about two implementations of the List ADT, the array and the linked list implementation. We also worked with single-link linked lists for Assignment 3. Consider a double link linked list. Conceptually, discuss how a double link linked list offers advantages over a single link linked list.
  2. ) Provide a conceptual description of the process for inserting a value at some index i of a double link linked list. Given two nodes of a double link linked list, say node si-1 and node si (where the subscript is the index of each node), how can we update the pointers of these two nodes to insert some node sk. Consider that there is a link from node si-1 to si and also a link from node si to node si-1
  3. ) Recall our discussion of AVL Trees and how we can sustain O(log n) query time if we employ the AVL balancing method when inserting values at random into a given tree. Consider a collection of lists of 10 distinct random integers between 1 and 100 (where n = 10 and m = 100). Generate (2) such random lists using the BSTAlgorithm template code. First, instantiate (2) random binary search trees and then instantiate (2) AVL trees from the given random values. Draw your responses. Now generate the third list of random numbers where n = 10 and m = 100. Using the random binary search trees and AVL trees from the previous step, search for each value in the third list and specify how many comparisons are necessary to determine if each of these values is a part of the search space for all (4) trees created in the first step. Reviewing the details, make an observation about the average search time for your particular random binary search trees versus your particular AVL trees. Can you generalize your observation to be applicable to all binary search trees and AVL trees?

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