Practice Complexity of Insert - 36.1.1 | 36. Priority queues and heaps - Part B | Data Structures and Algorithms in Python
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the time complexity for inserting an element into a max heap?

πŸ’‘ Hint: Think about the height of the tree and how a balanced tree behaves.

Question 2

Easy

Explain why the maximum value in a max heap is always at the root.

πŸ’‘ Hint: Consider what would happen if this property didn't hold.

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 inserting a node in a binary max heap?

  • O(n)
  • O(log n)
  • O(1)

πŸ’‘ Hint: Consider how many levels you traverse.

Question 2

True or False: In a max heap, the root node is always the smallest element.

  • True
  • False

πŸ’‘ Hint: Recall the definition of a max heap.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Construct a max heap from the array [10, 15, 30, 5, 20, 25, 35] using the bottom-up heapify method. Illustrate each step.

πŸ’‘ Hint: Focus on how each parent compares to its children and adjust accordingly.

Question 2

Explain how using an array representation for heaps improves access and manipulation of nodes compared to a traditional tree structure.

πŸ’‘ Hint: Consider the arithmetic relationship between indices for parent and children.

Challenge and get performance evaluation