Practice Bottom-Up Heapifying - 36.4.2.1 | 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

Define a max-heap.

πŸ’‘ Hint: Think about the arrangement of elements in relation to their parent.

Question 2

Easy

What is the time complexity of inserting an element in a max-heap?

πŸ’‘ Hint: Consider the height of the tree when determining time.

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 primary property of a max-heap?

  • Every parent is less than its children
  • Every parent is greater than its children
  • Children can be equal
  • All elements are unique

πŸ’‘ Hint: Think about the arrangement of nodes in a max-heap.

Question 2

True or False: The delete max operation has a time complexity of O(log n).

  • True
  • False

πŸ’‘ Hint: Consider how many elements you have to check after deletion.

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Challenge Problems

Push your limits with challenges.

Question 1

Given the array [8, 7, 6, 5, 4, 3, 2, 1], build a max-heap using the bottom-up approach and illustrate each step.

πŸ’‘ Hint: Start from index n/2 and work your way up.

Question 2

Explain how you would modify the heap sort algorithm to create a min-heap for sorting in ascending order. What changes in terms of implementation?

πŸ’‘ Hint: Think about the inverse nature of the heap properties.

Challenge and get performance evaluation