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Throwing eggs from a building. Suppose that you have an N-story building and plenty of eggs. Suppose also that
an egg is broken if it is thrown off floor F or higher, and unhurt otherwise.
First, devise a strategy to determine the value of F such that the number of
broken eggs is ~lgN when using ~lgN throws, then find a way to reduce the cost to
~2lgF.
While the lgN solution is easy to think up, I totally have no idea about the 2lgF solution. Anyway, we are not given the value of F, so where the ground of 2lgF solution is?
Can anyone give some light on this question?

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