Before revision:  Finally, we apply our methods to the finitely many tests-per-individuals setting, where we provide a full understanding of the random regular test-design in this model by building up on work of (Gandikota et al., 2016) .
After revision:  Finally, for each of these two settings, we provide near-optimal adaptive algorithms based on sequential splitting, and provably demonstrate gaps between the performance of optimal adaptive and non-adaptive algorithms .