IMO Shortlist 2000 problem G7


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2. travnja 2012.
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Ten gangsters are standing on a flat surface, and the distances between them are all distinct. At twelve o’clock, when the church bells start chiming, each of them fatally shoots the one among the other nine gangsters who is the nearest. At least how many gangsters will be killed?
Izvor: Međunarodna matematička olimpijada, shortlist 2000