10.3.2 - Child and Parent Node Calculation
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the height of a tree with 7 nodes?
💡 Hint: Think about how many levels exist in a perfectly balanced tree.
Where would the child nodes be for the node at index 1?
💡 Hint: Use the formulas `2i + 1` and `2i + 2`.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the time complexity for insertion in a heap?
💡 Hint: Consider the height of the tree as it grows.
In a max heap, which holds true?
💡 Hint: Visualize a binary tree where the root is the greatest value.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given an initial max heap with the values [25, 20, 10, 5, 15], after inserting 30, what will the new heap look like?
💡 Hint: Remember to bubble up the new value to maintain heap properties.
Explain how you would convert a given unsorted array into a min heap using the bottom-up heapification method.
💡 Hint: Start from the lower levels of the tree, as leaves will already be in min heap order.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.