Assume that a sample alphabet has the following weights: (a) For this alphabet, what is the worst-case

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Assume that a sample alphabet has the following weights:

Letter Frequency QZ F M T SOE 2 3 10 10 10 15 20 30

(a) For this alphabet, what is the worst-case number of bits required by the Huffman code for a string of n letters? What string(s) have the worstcase performance?

(b) For this alphabet, what is the best-case number of bits required by the Huffman code for a string of n letters? What string(s) have the best-case performance?

(c) What is the average number of bits required by a character using the Huffman code for this alphabet?

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