Compare and contrast the time complexities of searching in a balanced binary search tree and a hash table.
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A: correct answer for given question is given below:
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A: The answer is as follows.
![Compare and contrast the time complexities of searching in a balanced binary search tree
and a hash table.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa58954b5-e3c3-407c-9f39-5ac894afee9a%2F73fec418-f870-4f1b-bc23-138056d22209%2Fdlacsi_processed.jpeg&w=3840&q=75)
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- Even in the worst case, a binary tree sort that uses a self-balancing binary search tree takes O(n log n) time, which is still slower than a merge sort.In terms of search time, the three approaches of list, BST (binary search trees), and AVL each have their own distinct obstacles; describe how each approach achieves its performance.In each of (a) and (b), use the steps of Algorithm 10.5.1 to build a binary search tree for the given keys. Use numerical order and insert the keys in the order they are listed. The elements in the lists are the same, but the trees are different because the lists are ordered differently. (Enter NONE in any unused answer blanks.) (a) 11, 27, 25, 4, 13, 9, 8 11 4 24 NONE 6. 22 NONE NONE 15 NONE (b) 11, 8, 4, 25, 13, 27, 9 11 22 6. 15 24 NONE NONE NONE NONE
- Compare and contrast AVL trees with other types of binary search trees.A worst-case binary tree sort using a self-balancing binary search tree takes O(n log n) time. Merge sort is substantially faster.Compare and contrast the time complexities of searching in a balanced binary search tree and a hash table.
- What is the runtime (using big-O notation) of a search operation in a balanced binary search tree with n nodes? With example and explanationDefine a Binary Search Tree (BST) and explain its properties.Please elaborate on the two primary benefits of using a binary search tree (reference-based strategy).
- Using a self-balancing binary search tree, binary tree sort is nevertheless slower than merge sort, taking O(n log n) time in the worst case.Computer science question 1In the worst-case scenario, binary tree sort employing a self-balancing binary search tree requires O(n log n) time, which is slower than merge sort.