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## 4.9.1 Huffman Coding

1.
Problem: Given a set of alphabets and their relative frequencies, find the Huffman binary code using binary trees and an optimal ternary code using ternary trees.

2.
Reading: Read pages 94-102 of "Data Structures and Algorithms" by Aho, Hopcroft, and Ullman.

3.
Input: The number of alphabets and relative frequencies of those, for example,

8 .2 .02 .3 .05 .03 .15 .22 .03
Assume the alphabets as 1, 2, 3, ..., without loss of generality.

4.
Output: For each alphabet, print the Huffman binary code and an optimal ternary code. Also print the average length of code.

5.
Data structures: For binary trees, use the data structures suggested by Aho, Hopcroft, and Ullman. For ternary trees, use similar data structures based on leftmostchild-right sibling representation with nodes organized into cellspace.

6.
Programming language: Use C or C++or Java. Best practices in programming should be adhered to.

eEL,CSA_Dept,IISc,Bangalore