Rényi-Berlekamp-Ulam searching game with bi-interval queries and two lies

نویسندگان

  • Shu Min Xing
  • Wen An Liu
  • Kun Meng
چکیده

We consider the following searching game: there are two players, say Questioner and Responder. Responder chooses a number x ∈ Sn = {1, 2, . . . , n}, Questioner has to find out the number x by asking bi-interval queries and Responder is allowed to lie at most two times throughout the game. The minimal number q(n) of bi-interval queries sufficient to find the unknown integer x is determined for all integers n. This solves completely Rényi–Berlekamp–Ulam searching game with bi-interval queries and two lies, partially solved byMundici and Trombetta. Their solution applied only to the casewhen n is a power of 2. © 2015 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 202  شماره 

صفحات  -

تاریخ انتشار 2016