Practice Complexity Analysis - 27.2.2 | 27. Mathematical Institute | Design & Analysis of Algorithms - Vol 1
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Complexity Analysis

27.2.2 - Complexity Analysis

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the first step in Dijkstra's algorithm?

💡 Hint: Think about how we initialize the distances.

Question 2 Easy

What data structure is inefficient for Dijkstra's algorithm?

💡 Hint: Consider how we store graph data and access the vertices.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the correct time complexity of Dijkstra's algorithm using an adjacency matrix?

O(n)
O(n log n)
O(n^2)

💡 Hint: Think about the loops involved in finding the minimum distance.

Question 2

True or False: Dijkstra's algorithm can correctly determine shortest paths in a graph with negative weight edges.

True
False

💡 Hint: Recall the assumptions made by Dijkstra's algorithm.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with the following weights, perform Dijkstra's algorithm from vertex A. Show all steps and final shortest paths.

💡 Hint: Keep track of distances from A, marking each burnt vertex.

Challenge 2 Hard

Explain how Dijkstra's algorithm would perform on a complete graph with negative edge weights, detailing any deviations from the expected outcome.

💡 Hint: Consider the implications of a negative cycle.

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