Practice Building a Heap - 10.4 | 10. Height of the Heap | Design & Analysis of Algorithms - Vol 2
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Building a Heap

10.4 - Building a Heap

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the maximum value in a max heap, and where is it located?

💡 Hint: Think about where the largest element would be in a hierarchical structure.

Question 2 Easy

Explain the bubble up operation when inserting into a heap.

💡 Hint: Focus on the relationship between a node and its parent.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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

O(1)
O(N)
O(log N)
O(N log N)

💡 Hint: Consider the structure of heaps and how deep the tree can get.

Question 2

True or False: In a min heap, the maximum element is found at the root.

True
False

💡 Hint: Think about the properties of both max heaps and min heaps.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the values [7, 6, 5, 10, 14, 3, 9], build a max heap and show the resulting array representation.

💡 Hint: Use the bottom-up method for efficient heap building.

Challenge 2 Hard

Consider a heap tree structure with nodes 5, 15, 10. If we insert 20 and then delete the maximum, what are the resulting elements in the heap?

💡 Hint: Remember to restore the heap property after every operation.

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