Practice Binary Tree Definition (9.2.1) - Heaps - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What is a binary tree?
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Think about the definition of tree structures.
Question 2.
What defines a max heap?
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Consider the relationship between parent and child nodes.
3Question 3.
What is a binary tree?
- A structure with nodes having two children
- A structure that can have many children
- A linear data structure
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Think about the limitations on node connectivity.
4Question 4.
True or False: In a max heap, each parent node must be smaller than its children.
- True
- False
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Recall the definition of a max heap.
Question 5.
Design a binary tree that fulfills the max heap property using the following numbers: [8, 3, 5, 1, 4, 2]. Explain how you achieved the arrangement and any challenges you encountered.
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Try drawing the heap as you add nodes, ensuring each parent-child relationship holds.
Question 6.
Given a binary tree that does not maintain the max heap property, explain how you would adjust it. Provide a specific example with steps.
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Think about the process of comparing and swapping from the violating node upward.

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