Practice Array Representation Of Heap (10.3.1) - Height of the Heap - Design & Analysis of Algorithms

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the complexity for inserting an element into a heap?
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Think about the levels you need to traverse.
Question 2.
In a max heap, which node is the largest?
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Consider the properties of a max heap.
3Question 3.
What is the maximum height of a heap with n elements?
- O(n)
- O(log n)
- O(n log n)
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Remember how the tree structure expands.
4Question 4.
True or False: In a min heap, the maximum value is always found at the root.
- True
- False
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Reflect on the properties of min vs max heaps.
Question 5.
Given a randomly ordered array of ten numbers, describe and illustrate how you would transform it into a max heap using the bottom-up method.
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Focus on how each subtree adheres to the max heap property while going up.
Question 6.
If you start with a max heap of size n and repeatedly remove elements, how does the structure change?
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Visualize how nodes maintain balance and fill gaps after each removal.

5 more questions in this section. Enroll free to practise them all.