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Twenty Questions Games Always End With Yes

2010/02/26 by John Gill, Gill, John T., William Wu +1
Computer Science · #Algorithms and Data Compression #Discrete Mathematics (cs.DM) #E.4 #FOS: Computer and information sciences #H.1.1 #Information Theory (cs.IT) #Natural Language Processing Techniques #Video Analysis and Summarization

paper · pdf · doi:10.48550/arxiv.1002.4907

openalex publication_date 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Huffman coding is often presented as the optimal solution to Twenty Questions. However, a caveat is that Twenty Questions games always end with a reply of "Yes," whereas Huffman codewords need not obey this constraint. We bring resolution to this issue, and prove that the average number of questions still lies between H(X) and H(X)+1.

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