Practice Valid Heap Example 1 (9.3.1) - Heaps - Design & Analysis of Algorithms

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8 questions

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6 sample questions

Question 1.
Define a heap in your own words.
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Think about what makes heaps different from other data structures.
Question 2.
What is the time complexity of inserting an element into a heap?
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Recall how height affects performance.
3Question 3.
What property must a max-heap satisfy?
- Each parent is less than its children
- Each parent is greater than its children
- Parents can be equal to children
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Think about the requirements for retrieving the maximum element quickly.
4Question 4.
True or False: A binary tree can be a heap even if it has missing nodes.
- True
- False
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Recall the shape property of heaps.
Question 5.
Create a valid max-heap from the following numbers: 10, 20, 15, 30, 25. Describe how you would go about it.
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Keep an eye on the relationships between the parent and child nodes.
Question 6.
A max-heap is given as [50, 30, 20, 15, 10]. If we insert a value of 25, how does this affect the heap?
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Think about how the insertion balances the structure.

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