i'm having some trouble rigorously "covering" (0,1)^n as you suggest in the hint. i know that you'd need at LEAST q^n boxes of (0,1/q)^n.
ex: if i wanted to cover the 2-d square (0,1)^2 with (0,1/2) i'd need 4 of the smaller boxes (at least) which is 2*2=4.
but how do i write this mathematically for the (0,1/q)^n case?
i sure hope this isn't asking for too much of a hint.
---chris#2