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A discrete memoryless source generates messages m 1 , m 2 , m 3 with probabilities p ( m 1 ) = 1 / 2

A discrete memoryless source generates messages m1,m2,m3 with probabilities p(m1)=1/2, p(m2)=p(m3)=1/4. Design a Huffman code based on the alphabet A=(0,1,2) for nine possible message pairs consisting of these messages. Show whether the code is absolute optimum.

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