Given a function $$f$$ for which $$f(x) = f(398 - x) = f(2158 - x) = f(3214 - x)$$ holds for all real $$x,$$ what is the largest number of different values that can appear in the list $$f(0),f(1),f(2),\ldots,f(999)$$?

(第十八届AIME1 2000 第12题)