Practice Array Representation of Heap - 10.3.1 | 10. Height of the Heap | Design & Analysis of Algorithms - Vol 2
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Array Representation of Heap

10.3.1 - Array Representation of Heap

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the complexity for inserting an element into a heap?

💡 Hint: Think about the levels you need to traverse.

Question 2 Easy

In a max heap, which node is the largest?

💡 Hint: Consider the properties of a max heap.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the maximum height of a heap with n elements?

O(n)
O(log n)
O(n log n)

💡 Hint: Remember how the tree structure expands.

Question 2

True or False: In a min heap, the maximum value is always found at the root.

True
False

💡 Hint: Reflect on the properties of min vs max heaps.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

💡 Hint: Focus on how each subtree adheres to the max heap property while going up.

Challenge 2 Hard

If you start with a max heap of size n and repeatedly remove elements, how does the structure change?

💡 Hint: Visualize how nodes maintain balance and fill gaps after each removal.

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