Practice Child and Parent Node Calculation - 10.3.2 | 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 tree with 7 nodes?

💡 Hint: Think about how many levels exist in a perfectly balanced tree.

Question 2

Easy

Where would the child nodes be for the node at index 1?

💡 Hint: Use the formulas `2i + 1` and `2i + 2`.

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 time complexity for insertion in a heap?

  • O(N)
  • O(log N)
  • O(1)

💡 Hint: Consider the height of the tree as it grows.

Question 2

In a max heap, which holds true?

  • True
  • False

💡 Hint: Visualize a binary tree where the root is the greatest value.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given an initial max heap with the values [25, 20, 10, 5, 15], after inserting 30, what will the new heap look like?

💡 Hint: Remember to bubble up the new value to maintain heap properties.

Question 2

Explain how you would convert a given unsorted array into a min heap using the bottom-up heapification method.

💡 Hint: Start from the lower levels of the tree, as leaves will already be in min heap order.

Challenge and get performance evaluation