Encode the message
The following eight-symbol alphabet with associated relative frequencies was designed to efficiently encode the lyrics of 1950s rock songs. (Note that the ''symbols'' of an ''alphabet'' need not be individual letters.)
A 2 NA 16 BOOM 1 SHA 3 GET 2 YIP 9 JOB 2 WAH 1
) to generate a corresponding Huffman tree, and use
) to encode the following message:
Get a job Sha na na na na na na na na Get a job Sha na na na na na na na na Wah yip yip yip yip yip yip yip yip yip Sha boom
How many bits are required for the encoding? What is the smallest number of bits that would be needed to encode this song if we used a fixed-length code for the eight-symbol alphabet?
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