Practice Properties of Optimal Trees - 21.10 | 21. Greedy Algorithms: Huffman Codes | Design & Analysis of Algorithms - Vol 2
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Properties of Optimal Trees

21.10 - Properties of Optimal Trees

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a prefix code?

💡 Hint: Think about how this affects decoding.

Question 2 Easy

Why is variable-length encoding advantageous?

💡 Hint: Consider fixed-length limitations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a prefix code?

A code where one can be a prefix of another
No code can be a prefix of another
Every code is of fixed length

💡 Hint: Think of how this relates to decoding letters.

Question 2

True or False: Huffman coding uses fixed-length codes for all characters.

True
False

💡 Hint: Consider how Huffman coding operates.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a Huffman tree for the characters A, B, C with frequencies 0.5, 0.3, and 0.2 respectively. Explain your process.

💡 Hint: Draw the tree as you combine the nodes.

Challenge 2 Hard

Given a message consisting of the letters {A, B, C} with frequencies {0.6, 0.2, 0.2}, hypothesize how the encoded messages would look like.

💡 Hint: Think about how Huffman coding balances to place common letters higher in the tree.

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