A function F is such that this relationship holds for all real x.
F(x) = F(398-x) = F(2158-x) = F(3214-x)
What is the maximum number of distinct values that can appear in the list F(0), F(1), F(2), ..., F(999).
(In reply to Do I miss something?
by Ady TZIDON)
While I haven't worked this out, I think that there is more to it than this.
If it said F(x) = F(398-x) = F(1399-x), for instance, I think that there might only be one distinct value possible for any integer x. The Greatest Common Divisor is going to come into play here.