There are n lamps in a row, some of which are on. Every minute, all the lamps already on will go oﬀ. Those which were oﬀ and were adjacent to exactly one lamp that was on will go on. For which n can one ﬁnd an initial conﬁguration of which lamps are on, such that at least one lamp will be on at any time?
configuration for lamps
Ananyabrata Barua Asked question