Practice Optimal Prefix Codes - 21.5 | 21. Greedy Algorithms: Huffman Codes | Design & Analysis of Algorithms - Vol 2
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Optimal Prefix Codes

21.5 - Optimal Prefix Codes

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a prefix code in your own words?

💡 Hint: Think about how Morse code could lead to confusion.

Question 2 Easy

What encoding method assigns shorter codes to more frequent letters?

💡 Hint: Check what Huffman coding does!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a prefix code?

A code where one code is a prefix of another
A code where no code is a prefix of another
A fixed-length coding mechanism

💡 Hint: Think about how Morse code functions.

Question 2

True or False: Huffman coding is an optimal method for generating prefix codes.

True
False

💡 Hint: Remember what we discussed about minimizing the average code length.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the frequencies of letters {A: 0.5, B: 0.25, C: 0.15, D: 0.10}, design an optimal prefix coding tree and determine the expected length of encoding.

💡 Hint: Use Huffman coding principles to design your tree.

Challenge 2 Hard

Design a variable-length encoding system for vowels in English based on their frequencies. Show your complete coding tree.

💡 Hint: Remember to prioritize based on how often they are used.

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