# Euler's count of circle pieces

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The function $$R(n)$$ denotes the maximum number of areas which can be formed within the circle when all chords between $$n$$ distinct points on a circle are drawn.

In the figures above we see that $$R(2) = 2, R(3) = 4$$ and $$R(4) = 8$$.

Find the smallest value of $$R(n) \geq 1000$$.

Note: The $$n$$ points lie on the circle in such a way that the 'maximum' number of areas are formed.

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