# Find two disjoint set

Given an universum $$U$$ and two sets $$A$$ and $$B$$ of sets of elements from $$U$$. I want to find (if such a pair exists) $$a \in A$$ and $$b \in B$$: $$a \cap b \equiv \emptyset$$. Currently I can do it only in $$O(|A| \cdot |B|)$$, is there way to improve this? $$|a|, |b| \leq 32, a \in A, b \in B$$.