# Prisoners, Rooms, and Lightswitches

@article{Kane2021PrisonersRA, title={Prisoners, Rooms, and Lightswitches}, author={Daniel M. Kane and Scott Duke Kominers}, journal={Electron. J. Comb.}, year={2021}, volume={28}, pages={P1.27} }

We examine a new variant of the classic prisoners and lightswitches puzzle: A warden leads his $n$ prisoners in and out of $r$ rooms, one at a time, in some order, with each prisoner eventually visiting every room an arbitrarily large number of times. The rooms are indistinguishable, except that each one has $s$ lightswitches; the prisoners win their freedom if at some point a prisoner can correctly declare that each prisoner has been in every room at least once. What is the minimum number of… Expand

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