Baron Münchhausen redeems himself: bounds for a coin-weighing puzzle
The electronic journal of combinatorics, Tome 18 (2011) no. 1
We investigate a coin-weighing puzzle that appeared in the 1991 Moscow Math Olympiad. 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.
@article{10_37236_524,
author = {Tanya Khovanova and Joel Brewster Lewis},
title = {Baron {M\"unchhausen} redeems himself: bounds for a coin-weighing puzzle},
journal = {The electronic journal of combinatorics},
year = {2011},
volume = {18},
number = {1},
doi = {10.37236/524},
zbl = {1229.05266},
url = {http://geodesic.mathdoc.fr/articles/10.37236/524/}
}
Tanya Khovanova; Joel Brewster Lewis. Baron Münchhausen redeems himself: bounds for a coin-weighing puzzle. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/524
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