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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the main property of a max heap?
💡 Hint: Think about how the largest value is organized in the tree.
Question 2
Easy
How does the time complexity of insertion in a heap compare to a simple list?
💡 Hint: Consider how the elements are arranged in a list versus a 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
In a max heap, every parent node is less than or equal to its children.
- True
- False
💡 Hint: Recall the definition of a max heap from our discussion.
Question 2
What is the time complexity for deleting the maximum node in a max heap?
- O(N)
- log(N)
- O(1)
💡 Hint: Think about the height of the heap.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the array [1, 3, 5, 7, 9, 2, 4, 6, 8], construct a max heap using both the naive insertion method and the bottom-up method. Compare the steps taken.
💡 Hint: Keep track of the number of swaps and the structure at each step.
Question 2
Explain why it’s more efficient to use a bottom-up heapifying approach rather than naive construction. Provide an example to illustrate your reason.
💡 Hint: Focus on how many nodes are involved at different levels and how many swaps are really done.
Challenge and get performance evaluation