Practice Module - 02 - 27.1.5 | 27. Mathematical Institute | Design & Analysis of Algorithms - Vol 1
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Module - 02

27.1.5 - Module - 02

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the initial distance assigned to all vertices except the source in Dijkstra's algorithm?

💡 Hint: All vertices start with a distance of what value except the source?

Question 2 Easy

True or False: Dijkstra's algorithm can handle negative weight edges.

💡 Hint: What happens with negative weights in shortest path problems?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main objective of Dijkstra's algorithm?

Find the maximum path
Find the shortest path
Find all paths

💡 Hint: What are we trying to minimize in this algorithm?

Question 2

Dijkstra's algorithm uses which type of approach?

True
False

💡 Hint: Does it make local choices for global outcomes?

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with vertices A, B, C, and D with weights: A to B (1), A to C (4), B to C (2), B to D (6), and C to D (1). Using Dijkstra's algorithm from A, calculate the shortest path to D.

💡 Hint: Trace the paths starting from A and calculate the weights.

Challenge 2 Hard

Explain the shortcomings of Dijkstra's algorithm when applied to a graph with negative edges and provide an example of why it fails.

💡 Hint: Consider paths and how weights impact total distance, especially when negative options are available.

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