Practice Array Representation of Heap - 10.3.1 | 10. Height of the Heap | 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 complexity for inserting an element into a heap?

💡 Hint: Think about the levels you need to traverse.

Question 2

Easy

In a max heap, which node is the largest?

💡 Hint: Consider the properties of a max heap.

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 maximum height of a heap with n elements?

  • O(n)
  • O(log n)
  • O(n log n)

💡 Hint: Remember how the tree structure expands.

Question 2

True or False: In a min heap, the maximum value is always found at the root.

  • True
  • False

💡 Hint: Reflect on the properties of min vs max heaps.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a randomly ordered array of ten numbers, describe and illustrate how you would transform it into a max heap using the bottom-up method.

💡 Hint: Focus on how each subtree adheres to the max heap property while going up.

Question 2

If you start with a max heap of size n and repeatedly remove elements, how does the structure change?

💡 Hint: Visualize how nodes maintain balance and fill gaps after each removal.

Challenge and get performance evaluation