Question: Analysis of Algorithm Suppose a file contains 3000 characters consisting of characters a (10), b (15), c (20), d (5), e (22) and f (28).

Analysis of Algorithm

Suppose a file contains 3000 characters consisting of characters a (10), b (15), c (20), d (5), e (22) and f (28). The number inside the parenthesis represents the frequency of that character.

(a) Draw the optimal prefix code tree. (b) What is the average bits per letter of the prefix code in (a)? (c) What is the size of the file after data compression?

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