Activities/Assessments: 1. Draw the structure of a binary heap (MinHeap): a. after these priorities have been inserted: 19, 34, 23, 16, 54, 89, 24, 29, 15, 61, 27. b. after two del... Activities/Assessments: 1. Draw the structure of a binary heap (MinHeap): a. after these priorities have been inserted: 19, 34, 23, 16, 54, 89, 24, 29, 15, 61, 27. b. after two deleteMin operations (using the tree in (a)). 2. Show the result of inserting 3, 1, 4, 6, 9, 2, 5, 7 into an initially empty binary search tree. 3. Given the tree in (1), show the result of deleting the root. 4. Draw the AVL Tree of the following. NOTE: Show the tree before and after rotations. C O M P U T I N G 5. Using the AVL in (3), add S E A R 6. Draw the AVL Tree of the following. NOTE: Show the tree before and after rotations. G O L D S T A R 7. Using the AVL in (5), delete S L O T.
Understand the Problem
The questions are asking to perform various operations on binary heaps and binary search trees, including insertion, deletion, and tree drawing. This involves the application of data structure concepts in computer science.
Answer
Initial MinHeap: [15, 16, 23, 19, 27, 89, 24, 29, 34, 61, 54]. After deleteMin x2: [19, 27, 23, 29, 54, 89, 24, 34, 61].
First, insert elements into the MinHeap to construct the initial heap: [15, 16, 23, 19, 27, 89, 24, 29, 34, 61, 54]. After two deleteMin operations, the resulting heap is: [19, 27, 23, 29, 54, 89, 24, 34, 61].
Answer for screen readers
First, insert elements into the MinHeap to construct the initial heap: [15, 16, 23, 19, 27, 89, 24, 29, 34, 61, 54]. After two deleteMin operations, the resulting heap is: [19, 27, 23, 29, 54, 89, 24, 34, 61].
More Information
To construct a MinHeap, each parent node must have a value less than or equal to its children. Initially inserting the elements in the given order and reordering them according to this rule gives the heap structure. The deleteMin operation involves removing the root and then reordering the rest to maintain the heap property.
Tips
A common mistake is not maintaining the heap property after insertion or deletion operations. Ensure each step maintains the parent-child relationship correctly.
AI-generated content may contain errors. Please verify critical information
