Ten gangsters are standing on a flat surface, and the distances between them are all distinct. Suddenly, each of them fatally shoots the one among the other nine gangsters that is the nearest. What is the maximum possible number of surviving gangsters?

(In reply to re: A guess (spoiler?) by Jer)

If the procedure is followed with 7 in an outside heptagon and there are three in the middle, won't the closest two in the middle shoot each other, and the third shoot at one of those two, leaving eight survivors?

Posted by Charlie on 2019-05-06 17:01:42