Practice Bottom-up Heapifying (36.4.2.1) - Priority queues and heaps - Part B
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Bottom-Up Heapifying

Practice - Bottom-Up Heapifying

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a max-heap.

💡 Hint: Think about the arrangement of elements in relation to their parent.

Question 2 Easy

What is the time complexity of inserting an element in a max-heap?

💡 Hint: Consider the height of the tree when determining time.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary property of a max-heap?

Every parent is less than its children
Every parent is greater than its children
Children can be equal
All elements are unique

💡 Hint: Think about the arrangement of nodes in a max-heap.

Question 2

True or False: The delete max operation has a time complexity of O(log n).

True
False

💡 Hint: Consider how many elements you have to check after deletion.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the array [8, 7, 6, 5, 4, 3, 2, 1], build a max-heap using the bottom-up approach and illustrate each step.

💡 Hint: Start from index n/2 and work your way up.

Challenge 2 Hard

Explain how you would modify the heap sort algorithm to create a min-heap for sorting in ascending order. What changes in terms of implementation?

💡 Hint: Think about the inverse nature of the heap properties.

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