Practice Insert Operation Complexity - 10.1.2 | 10. Height of the Heap | 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

Insert Operation Complexity

10.1.2 - Insert Operation Complexity

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 the time complexity of insert operations in heaps?

💡 Hint: Think about what governs the height of the tree.

Question 2 Easy

Where is the maximum element found in a max-heap?

💡 Hint: Is it at the top or somewhere deeper in the tree?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of inserting into a heap?

O(N)
O(log N)
O(N^2)

💡 Hint: Consider how many levels we might have in a tree with N elements.

Question 2

True or False? The maximum value in a max-heap can be found at any leaf node.

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

Given an initial heap [50, 30, 20, 10], how would the heap look after inserting 40? Show the intermediate steps.

💡 Hint: Consider how to keep the parent node greater than its children.

Challenge 2 Hard

If you start with a heap of [45, 30, 20, 10] and perform a delete max operation, what will the sequence of heaps look like? Describe each removal step.

💡 Hint: Focus on restoring the heap property after each deletion.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.