Math & Logic · Ages 18+
Riddle #202
You have two identical eggs and a 100-floor building. You want to find the highest floor an egg can be dropped from without breaking, using as few worst-case drops as possible. What's the optimal worst-case number of drops?
You solved this one before
Answer: 14 drops
Using a decreasing-interval strategy (start at floor 14, then 27, 39...), the worst case is bounded by the smallest n where n(n+1)/2 ≥ 100, which is n = 14.