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TH-TMO 2007 Problem 11

    Compute the number of functions f:{1,2,...,2550}→{61,80,84}f : \{1, 2,... , 2550\} \to \{61, 80, 84\} such that ∑k=12550f(k)\sum_{k=1}^{2550} f(k) is divisible by 33 .

    Dataset text AI-MO AoPS. Quoted with source.

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