Practice Finding and Removing the Maximum - 10.2.1 | 10. Height of the Heap | Design & Analysis of Algorithms - Vol 2
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Finding and Removing the Maximum

10.2.1 - Finding and Removing the Maximum

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the maximum element in a max heap?

💡 Hint: Think about the structure of the max heap.

Question 2 Easy

Which operation has a logarithmic time complexity in a heap?

💡 Hint: Recall how the height of a heap relates to its size.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Where is the maximum value located in a max heap?

Root
Leaf
Middle

💡 Hint: Think about the properties that define the max heap.

Question 2

True or False: Sifting down is the process used to adjust the heap after removing the maximum element.

True
False

💡 Hint: Recall the steps involved in the maximum removal.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a max heap represented as an array: [50, 30, 20, 15, 10, 5], remove the maximum. Show the array after each step of restoring the heap property.

💡 Hint: Keep track of the largest child when performing sift down.

Challenge 2 Hard

Create a max heap from the following numbers: 15, 30, 10, 8, 25, and explain the process step by step.

💡 Hint: Always fix the heap property after each insertion.

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