SHARYGIN 2021 Problem 12
Suppose we have ten coins with radii cm. We can put two of them on the table in such a way that they touch each other, after that we can add the coins in such a way that each new coin touches at least two of previous ones. The new coin cannot cover a previous one. Can we put several coins in such a way that the centers of some three coins are collinear?
Dataset text AI-MO AoPS. Quoted with source.
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