What is the maximum number of bits used to encode a symbol, Mathematics

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What is the maximum number of bits used to encode a symbol

Given n + 1 symbols x_1, x_2,...,x_n, x_n+1 appearing 1, f₁, f₂,...,fn times in a symbol string, respectively, where fj is the j th Fibonacci number, what is the maximum number of bits used to encode a symbol when all possible tie-breaking selections are considered at each stage of the Huffman coding algorithm?

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Mathematics: What is the maximum number of bits used to encode a symbol

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