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Evaluate:
$$ \lim_{n\to\infty} \frac{1}{n^3} \sum_{a=1}^n \sum_{b=1}^n (a \bmod b) $$

Give your answer in 6 decimal places.


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The contest ended at 8:45 p.m. AEST on Tuesday 7th April. All submissions will be unofficial officially.

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