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MathNet 2015-part-06 — 191 problems (EN–VI) Question 167

Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)

Question 167

There are $N$ points on a circle. Andriy and Olesya play the following game. Andriy goes first. They take turns and connect two of the given points with a chord, provided it does not cross any of the previously drawn chords. The one after whose move there is a triangle formed by the drawn chords wins. Who wins in a fair game if:

a) $N=14$;
b) $N=15$?