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Geometry
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Gansters in Geometry
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I don'y know about gangster but I'm in geometry :)
don't*
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?
lol
problem asked in IRAN 2000 MATH olympiad
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IMO
HINT "the problem can be reapeted as" Given a set S of ten points in the plane such that the distances between them are all distinct, for each point P ∈ S we mark the point Q ∈ S \ {P} nearest to P. Find the least possible number of marked points.
i there any one who wants to see the solution
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