Practice Heap Operations Summary - 10.5 | 10. Height of the Heap | Design & Analysis of Algorithms - Vol 2
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Heap Operations Summary

10.5 - Heap Operations Summary

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a max-heap?

💡 Hint: Think about the root node in a max-heap.

Question 2 Easy

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

💡 Hint: Consider the height of the heap.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of both insertion and deletion in a max-heap?

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

💡 Hint: Think about the height of a binary tree as you determine time complexity.

Question 2

A min-heap requires that every parent node be larger than its children.

True
False

💡 Hint: Consider the definition of a min-heap.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Explain how the time complexity of the heapifying process leads to an overall O(N) time complexity when constructing a heap from an unordered array.

💡 Hint: Focus on how node counts decrease while fixing the heap properties.

Challenge 2 Hard

Take an array of numbers and transform it into a max-heap. Outline each step you take in the process.

💡 Hint: Recall the definition of a max-heap while performing swaps.

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