Brain Teasers & Mental MathHard

The 100-floor, 2-egg puzzle: find the highest floor from which an egg can be dropped without breaking, minimizing the worst-case number of drops. You have exactly 2 eggs. What's the optimal strategy and worst-case count?

Model answer

14 drops worst-case.

If egg 1 breaks you must test floors one-by-one upward with egg 2, so you want each successive egg-1 drop to add fewer remaining floors. Drop egg 1 at floors spaced by a…

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