Practice Binary Tree Definition - 9.2.1 | 9. Heaps | Design & Analysis of Algorithms - Vol 2
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Binary Tree Definition

9.2.1 - Binary Tree Definition

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.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a binary tree?

💡 Hint: Think about the definition of tree structures.

Question 2 Easy

What defines a max heap?

💡 Hint: Consider the relationship between parent and child nodes.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a binary tree?

A structure with nodes having two children
A structure that can have many children
A linear data structure

💡 Hint: Think about the limitations on node connectivity.

Question 2

True or False: In a max heap, each parent node must be smaller than its children.

True
False

💡 Hint: Recall the definition of a max heap.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a binary tree that fulfills the max heap property using the following numbers: [8, 3, 5, 1, 4, 2]. Explain how you achieved the arrangement and any challenges you encountered.

💡 Hint: Try drawing the heap as you add nodes, ensuring each parent-child relationship holds.

Challenge 2 Hard

Given a binary tree that does not maintain the max heap property, explain how you would adjust it. Provide a specific example with steps.

💡 Hint: Think about the process of comparing and swapping from the violating node upward.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.