Practice Heap Representation - 10.3 | 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 height of a heap?

💡 Hint: Think about the path traveled from the top to the bottom of the heap.

Question 2

Easy

What operation removes the maximum element from a max heap?

💡 Hint: Consider which operation focuses on the root element being the maximum.

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 be satisfied in a max heap?

  • All nodes are equal
  • The root is the smallest element
  • The root is greater than its children

💡 Hint: Think about how a max heap is defined.

Question 2

True or False: The height of a heap increases with the number of elements.

  • True
  • False

💡 Hint: Consider how levels in a tree increase with additional nodes.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a max heap represented as an array, describe how you would implement insert and delete operations, including complexities.

💡 Hint: Consider the implications of maintaining heap properties during the operations.

Question 2

Explain how the logarithmic time complexity of heap operations reflects upon their height and number of nodes.

💡 Hint: Think about the nature of binary trees and their properties.

Challenge and get performance evaluation