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\(f(407)\)

Algebra Level 2

For a nonnegative integer \(n\), function \(f\) satisfies \[f(10n+k)=f(n)+k, f(0)=2,\] where \(k=0,1,2, \ldots,9\). What is \(f(407)?\)

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by Ajay Dutta

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