## APMO 2015 problem 2

Discussion on Asian Pacific Mathematical Olympiad (APMO)
samiul_samin
Posts: 999
Joined: Sat Dec 09, 2017 1:32 pm

### APMO 2015 problem 2

Let $S$={$2,3,4$} denote the set of integers that are greater than or equal to $2$.Does there exist a function $f : S\rightarrow S$ such that,

$f(a)f(b)=f()a^2b^2$ for all $a,b\in S$ with $a$ is not equal to $b$?