2017 European Girls Math Olympiad Problem 5

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Typo at 17:40.
9+7 = 16 = 2^4 not 2^3.
Luckily all we cared for was parity.
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Hi sir, I couldn’t urderstand why in cases like n=7 an 9 you closed the cycle with just 3 or 5 vertices. Shouldn’t the vertices represent the a_i’s, so there would be 7 and 9 vertices?

wesleyandrade