Baron Munchhausen Redeems Himself: Bounds for a Coin-Weighing Puzzle

Details Baron Munchhausen Redeems Himself: Bounds for a Coin-Weighing Puzzle Baron Munchhausen Redeems Himself: Bounds for a Coin-Weighing Puzzle

2010-06-21

arxiv.org/abs/1006.4135v1

Mathematics

Combinatorics

19 pages

Scientific paper

We investigate a coin-weighing puzzle that appeared in the Moscow Math Olympiad in 1991. We generalize the puzzle by varying the number of participating coins, and deduce an upper bound on the number of weighings needed to solve the puzzle that is noticeably better than the trivial upper bound. In particular, we show that logarithmically-many weighings on a balance suffice.

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