Suppose you have 1000 unlabeled vials, and you want to know whether it’s T or E inside. Since you’re not a chemist, you decide to test on passoids to find out which vials contain which hormone. You know that, if injected with any amount of Testosterone, the passoid kills herself within 24 hours.

*Edit: Forgot to mention but only 1 vial contains T, the rest contain E. You only have 1 day to figure out which vial is T.

What is the minimum number of passoids you need in order to guarantee that you can label the T vial? Explain your test process as well

hint: each vial contains enough to inject multiple times