TED-ED: Can you solve the egg drop riddle? - Yossi Elran

A jewel thief plans to steal a valuable egg from a 100-story building by testing with two replica eggs to find the highest floor from which an egg can be dropped without breaking. The strategy involves dropping the first egg at calculated intervals and using the second egg to pinpoint the exact floor. The optimal solution requires 14 drops, using decreasing interval sizes to minimize attempts.

What is the significance of the intervals chosen for dropping the first egg?

What is the final conclusion about the number of drops needed in the 100-story building?