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Construct an optimal Huffiman coding tree for the characters I with frequency 75, U with frequency 200, B with frequency 25, S with frequency 275,

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Construct an optimal Huffiman coding tree for the characters I with frequency 75, U with frequency 200, B with frequency 25, S with frequency 275, C with frequency 50, H with frequency 100, M with frequency 25, and P with frequency 250. How many bits are required to store the above characters using the resulting encoding? (Show your work for building the Huffman codes)

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