Choose any ten points from the interior of a square with side length $3$. Show that the distance of some pair of these points does not exceed $\sqrt{2}$.
Can someone help me?
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Hint: divide the square $3 \times 3$
Ross Millikan
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+2: awesome hint! – JSCB Oct 13 '12 at 07:21
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+3: this is great. – Thomas Oct 13 '12 at 11:34