optimal testing strategy
in my opinion, The designer of this question just wanted to make a famous algorithm problem a bit complicated but made it totally nonsense. 

This is the famous two egg problem where 


  You are given two eggs and access to a 100-story building. Both eggs are identical. The aim is to find out the highest floor from which an egg will not break when dropped out of a window from that floor. If an egg is dropped and does not break, it is undamaged and can be dropped again. However, once an egg is broken, that’s it for that egg.