Practice Merging Frequencies - 22.2.1 | 22. Introduction to Recursive Solutions and Huffman Coding | Design & Analysis of Algorithms - Vol 2
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Merging Frequencies

22.2.1 - Merging Frequencies

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What happens when two characters with the least frequency are merged?

💡 Hint: Think about the process of combining numbers together.

Question 2 Easy

What character encoding is assigned to the last two remaining letters?

💡 Hint: What binary code would you use for two choices?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first step in Huffman coding?

Merge the highest frequencies
Merge the lowest frequencies
Assign binary codes directly

💡 Hint: Remember the strategy is to minimize representation.

Question 2

True or False: Huffman coding guarantees optimal encoding for any dataset.

True
False

💡 Hint: Think about the fundamental principle of this coding method.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the following frequencies, construct a Huffman tree and determine the codes: X(0.05), Y(0.15), Z(0.25), W(0.55).

💡 Hint: Start with the two lowest frequencies.

Challenge 2 Hard

Explain why alternative merging strategies lead to sub-optimal trees compared to Huffman’s method.

💡 Hint: Consider trade-offs of choosing higher frequencies early.

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