Practice Insertion and Deletion in Heaps - 9.4 | 9. Heaps | 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 the maximum value of a max-heap?

💡 Hint: Look at the root of the tree.

Question 2

Easy

Describe how to insert a new value into a heap.

💡 Hint: What position do we fill when adding a new node?

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 property must a max-heap satisfy?

  • A. Every parent node must be less than its children.
  • B. Every parent node must be equal to its children.
  • C. Every parent node must be greater than or equal to its children.

💡 Hint: Think about the definition of max-heap.

Question 2

True or False: Insertion in a heap can violate the max-heap property.

  • True
  • False

💡 Hint: What happens when we add a value larger than its parent?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a max-heap of [30, 20, 25], insert 15 and demonstrate the steps required to maintain the heap property.

💡 Hint: Where does 15 go, and does it change anything?

Question 2

Starting with the heap [50, 30, 25, 20, 15], delete the root and show the new state of the heap after replacement and sifting down.

💡 Hint: Ensure to visualize each change step.

Challenge and get performance evaluation