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5. (15 points) Based on the frequency of characters listed below, construct the optimal Huffman coding tree (when merging two nodes, assign the node that

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5. (15 points) Based on the frequency of characters listed below, construct the optimal Huffman coding tree (when merging two nodes, assign the node that has smaller frequency as the right child). Based on the constructed coding scheme, decode 01110010001011. If it cannot be fully decoded, mention that as well

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