Practice Complexity Analysis - 11.3 | 11. Heaps and Dijkstra's Algorithm | Design & Analysis of Algorithms - Vol 2
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Complexity Analysis

11.3 - Complexity Analysis

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What data structure does a heap represent?

💡 Hint: Think about the structure that allows maximum or minimum retrieval efficiently.

Question 2 Easy

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

💡 Hint: Consider the height of the tree.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of deleting the maximum element from a min-heap?

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

💡 Hint: Think about the structure's height.

Question 2

Dijkstra's algorithm finds the shortest path using which data structure?

True
False

💡 Hint: Recall how we discussed the algorithm's functionality.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Explain how you would implement Dijkstra's algorithm without using a heap. What would be the time complexity?

💡 Hint: Consider the implications of not having logarithmic retrieval.

Challenge 2 Hard

Describe an application where heaps and their sorting could greatly enhance efficiency.

💡 Hint: Think about systems that require quick access to priorities, like CPU scheduling.

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