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#879
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Yes, Uran, the last paragraph is correct (although it's best to forget about the others; Yashur explained the reason).
Actually, the solution can be made even a little simpler. Namely, take an equilateral triangle with sides of length x. Since the triangle has three vertices and there are only two colors, at least two vertices will be the same color. But in principle, it's almost the same as a circle.
Go ahead and guess.
 

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