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).
Do I miss something?
1-398 - only 199 distinct values possible due to F(x) = F(398-x).
399-999 601 more values possible,
Who cares about F(x) = F(2158-x) = F(3214-x)?? (*)
That is the maximum possible.
If we were asked to provide a function F(x) or to prove that such function with the restrictions (*) exists, that would be another story.
Edited on September 16, 2014, 7:06 am