1. What is the primary problem that comes with using a regular binary search tre
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Question
1. What is the primary problem that comes with using a regular binary search tree for maintaining a search tree with data elements that are inserted and deleted dynamically? What does a 2-3, 2-3-4, or red-black tree do to try to diminish the negative aspect of an ordinary binary search tree?
2. Create a 2-3-4 tree for a total of 15 nodes in the following order of their key values: 1, 2, 3, …, 15. Detailed steps for each node are needed. That is, you will need to draw a tree after inserting each and every node. In particular, if any adjustments of the tree (e.g., splitting and combining) are involved, such information will be expected.
3. Create a red-black tree based on the tree you created in Problem 2.
Explanation / Answer
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AS per the chegg policy, i have answered Q1.
1. What is the primary problem that comes with using a regular binary search tree for maintaining a search tree with data elements that are inserted and deleted dynamically? What does a 2-3, 2-3-4, or red-black tree do to try to diminish the negative aspect of an ordinary binary search tree?
ANs: THe main problem with binary search tree is : search , delete and insert operation takes O(n) in worst case because height of BST can be O(n). But in 2-3, 2-3-4, or red-black, these operation takes O(logn) time because these tree maintains height logn at any time.
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