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

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation