I want to know if there is a function for example that gives the same result for a set of noncontiguous reals. I want to have these results
$f(10)=25, f(25)=25, f(34)=25, f(85)=25, f(14)=25, f(13)=25$ for example.
In fact I have:
A number between $1$ and $536870912$
Several sets of noncontiguous numbers
A black box which must do a transformation to the sets
Each transformation must be unique and gives a number between $1$ and $255$ I want to know which thing (function or anything else) that I can have in the black box that does this transformation?
$\{4, 212, 10, 35000 \} \Rightarrow f(x) \Rightarrow 250$
$\{584, 12, 140, 5\} \Rightarrow f(x) \Rightarrow 15.$
I mean passing a given set by $f(x)$ gives always the same result for the passed set or I can imagine that for each element of a set I can have $f(4)=250, f(212)=250, f(10)=250, f(35000)=250.$
Thank you