Practice Heap Representation - 10.3 | 10. Height of the Heap | Design & Analysis of Algorithms - Vol 2
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Heap Representation

10.3 - Heap Representation

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the height of a heap?

💡 Hint: Think about the path traveled from the top to the bottom of the heap.

Question 2 Easy

What operation removes the maximum element from a max heap?

💡 Hint: Consider which operation focuses on the root element being the maximum.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What property must be satisfied in a max heap?

All nodes are equal
The root is the smallest element
The root is greater than its children

💡 Hint: Think about how a max heap is defined.

Question 2

True or False: The height of a heap increases with the number of elements.

True
False

💡 Hint: Consider how levels in a tree increase with additional nodes.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a max heap represented as an array, describe how you would implement insert and delete operations, including complexities.

💡 Hint: Consider the implications of maintaining heap properties during the operations.

Challenge 2 Hard

Explain how the logarithmic time complexity of heap operations reflects upon their height and number of nodes.

💡 Hint: Think about the nature of binary trees and their properties.

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