f(407)f(407)

Algebra Level 2

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

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