How many drops to find the highest safe floor?

Puzzle 4: Please Do Break the Crystal · 53:05 · Video: MIT OpenCourseWare · Watch at the source

In short: This video explores a classic optimization puzzle from MIT's Programming for the Puzzled course. Learn how to use algorithmic thinking to determine the maximum height you can drop a ball from without it breaking, while minimizing your total number of attempts.

The video presents a logic puzzle involving a set of identical balls and a building of unknown height. The goal is to find the threshold floor—the highest floor from which a ball can be dropped without breaking—using the fewest possible drops.

By applying specific programming and algorithmic principles, you can move beyond trial and error to find an efficient solution that minimizes the worst-case number of required drops.

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