This is the Huffman problem, but of a taxonomy tree. "Simple Huffman" will tell you what is the shortest possible tree, but taxonomy rules demand that Orangutans and Goldfish can't be in the same branch. The problem is to develop a taxonomy which will produce the shortest possible Huffman tree that takes those taxonomy rules into account. The exact nature of the allowed questions – a yes-or-no question is binary, others are not – is also essential to know.
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