Practice Updating Heap Values - 11.2.2 | 11. Heaps and Dijkstra's Algorithm | Design & Analysis of Algorithms - Vol 2
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Updating Heap Values

11.2.2 - Updating Heap Values

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What time complexity do heaps allow for insertions?

💡 Hint: Think about the structure of a heap.

Question 2 Easy

In a max-heap, how must the values relate between parent and child nodes?

💡 Hint: Consider how heaps are structured.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary property of a max-heap?

A: Parent nodes are smaller than their children
B: Parent nodes are larger than their children
C: Parent nodes and children are equal

💡 Hint: Visualize a heap.

Question 2

Dijkstra’s Algorithm requires how long to update the values in a heap?

True
False

💡 Hint: Consider the time complexities related to heaps.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a min-heap with the values [4, 10, 8, 20, 15], what is the structure of this heap after deleting the minimum value? Illustrate the heaps before and after the deletion.

💡 Hint: Always replace the root with a leaf and rebalance.

Challenge 2 Hard

Consider a situation in Dijkstra’s algorithm where you need to update a vertex's distance. Describe the steps required to identify and adjust the heap accordingly.

💡 Hint: It's about tracking where the changes need to occur.

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Reference links

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