Practice Handling Value Changes - 11.2.3 | 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 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.

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 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.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation