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#1 2008-01-20 04:23:39

tony123
Member
Registered: 2007-08-03
Posts: 189

points inside a circle

Given 1997 points inside a circle of radius 1, one of them the center of the circle. For each point take the distance to the closest (distinct) point. Show that the sum of the squares of the resulting distances is at most 9.

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