Practice Maintaining Heap Properties (9.4.2) - Heaps - Design & Analysis of Algorithms

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9 questions

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6 sample questions

Question 1.
What are the two main properties of a heap?
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Think about how the tree is structured and how the values are arranged.
Question 2.
Explain what happens when you insert an element into a heap.
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Focus on the order of insertion.
3Question 3.
What is the primary use of a heap?
- Sorting
- Implementing a priority queue
- Searching data
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Recall how jobs are prioritized.
4Question 4.
In a max heap, the value of a parent node is always ____ its child nodes.
- True
- False
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Think about the structure maintained in heaps.
Question 5.
Given a series of insertions: 7, 5, 12, 10, construct the heap and explain each step.
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Build the max heap step by step, ensuring you bubble up where needed.
Question 6.
Explain why heaps achieve O(log N) time complexity for insertion and deletion operations.
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Think about the structure of trees and how many levels there are.

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