Practice Handling Value Changes - 11.2.3 | 11. Heaps and Dijkstra's Algorithm | 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

Handling Value Changes

11.2.3 - Handling Value Changes

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 heap?

💡 Hint: Think about the parent-child relationship.

Question 2 Easy

How do we restore the heap property when increasing a value?

💡 Hint: Consider how values move in relation to their parent.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What happens when a value in the heap is increased?

It stays the same
It bubbles down
It bubbles up

💡 Hint: Think about how increasing a value affects its position.

Question 2

True or False: Dual arrays are used to keep track of vertex indices in heaps.

True
False

💡 Hint: Consider the purpose of having two mapping arrays.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You have a max-heap with the values [50, 30, 20, 15, 10, 8, 5]. If you insert 40 and then decrease it to 25, describe the steps taken to maintain the heap property.

💡 Hint: Focus on both insertion and value modification through bubbling.

Challenge 2 Hard

Write a complete algorithm to handle a value increase in a min-heap, including handling swaps up the tree.

💡 Hint: Consider all the conditions where swaps will need to happen.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.