Practice Insertion and Deletion in Heaps - 9.4 | 9. Heaps | Design & Analysis of Algorithms - Vol 2
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Insertion and Deletion in Heaps

9.4 - Insertion and Deletion in Heaps

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the maximum value of a max-heap?

💡 Hint: Look at the root of the tree.

Question 2 Easy

Describe how to insert a new value into a heap.

💡 Hint: What position do we fill when adding a new node?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What property must a max-heap satisfy?

A. Every parent node must be less than its children.
B. Every parent node must be equal to its children.
C. Every parent node must be greater than or equal to its children.

💡 Hint: Think about the definition of max-heap.

Question 2

True or False: Insertion in a heap can violate the max-heap property.

True
False

💡 Hint: What happens when we add a value larger than its parent?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a max-heap of [30, 20, 25], insert 15 and demonstrate the steps required to maintain the heap property.

💡 Hint: Where does 15 go, and does it change anything?

Challenge 2 Hard

Starting with the heap [50, 30, 25, 20, 15], delete the root and show the new state of the heap after replacement and sifting down.

💡 Hint: Ensure to visualize each change step.

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