3. (a) A collection of messages uses the following symbols with the given relative fre- quencies: s:5 t:3 u:9 d: 6 y: 2 (i) Construct the optimal Huffman code for these frequencies. (ii) Encode the string dust using this code. (iii) Calculate the lower and upper bound of the average code length. Compare to the actual code length. (b) Use heapsort to put the numbers 1,3,2,5,7,8,6 in decreasing order. You may use either the tree or the array representation. (i) Explain/show clearly how the initial heap is established. (ii) Show the heap and the partially sorted list obtained at each stage.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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3. (a) A collection of messages uses the following symbols with the given relative fre-
quencies:
s:5 t:3 u: 9 d: 6 y: 2
(i) Construct the optimal Huffman code for these frequencies.
(ii) Encode the string dust using this code.
(iii) Calculate the lower and upper bound of the average code length. Compare to
the actual code length.
(b) Use heapsort to put the numbers
1,3,2,5,7,8,6
in decreasing order. You may use either the tree or the array representation.
(i) Explain/show clearly how the initial heap is established.
(ii) Show the heap and the partially sorted list obtained at each stage.
Transcribed Image Text:3. (a) A collection of messages uses the following symbols with the given relative fre- quencies: s:5 t:3 u: 9 d: 6 y: 2 (i) Construct the optimal Huffman code for these frequencies. (ii) Encode the string dust using this code. (iii) Calculate the lower and upper bound of the average code length. Compare to the actual code length. (b) Use heapsort to put the numbers 1,3,2,5,7,8,6 in decreasing order. You may use either the tree or the array representation. (i) Explain/show clearly how the initial heap is established. (ii) Show the heap and the partially sorted list obtained at each stage.
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