Practice Valid Heap Example 1 - 9.3.1 | 9. Heaps | Design & Analysis of Algorithms - Vol 2
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Valid Heap Example 1

9.3.1 - Valid Heap Example 1

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a heap in your own words.

💡 Hint: Think about what makes heaps different from other data structures.

Question 2 Easy

What is the time complexity of inserting an element into a heap?

💡 Hint: Recall how height affects performance.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What property must a max-heap satisfy?

Each parent is less than its children
Each parent is greater than its children
Parents can be equal to children

💡 Hint: Think about the requirements for retrieving the maximum element quickly.

Question 2

True or False: A binary tree can be a heap even if it has missing nodes.

True
False

💡 Hint: Recall the shape property of heaps.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a valid max-heap from the following numbers: 10, 20, 15, 30, 25. Describe how you would go about it.

💡 Hint: Keep an eye on the relationships between the parent and child nodes.

Challenge 2 Hard

A max-heap is given as [50, 30, 20, 15, 10]. If we insert a value of 25, how does this affect the heap?

💡 Hint: Think about how the insertion balances the structure.

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