Eggs break when dropped from great enough height. Specifically, there must
be a floor f in any sufficiently tall building such that an egg dropped
from the fth
floor breaks, but one dropped from the (f − 1)st floor will not. If the egg
always
breaks, then f = 1. If the egg never breaks, then f = n + 1.
You seek to find the critical floor f using an n-story building. The only
operation
you can perform is to drop an egg off some floor and see what happens. You
start
out with k eggs, and seek to drop eggs as few times as possible. Broken
eggs cannot
be reused. Let E(k, n) be the minimum number of egg droppings that will
always
suffice.

 Show that E(k, n) = Θ(n^(1/k))


-Thanks
Bujji

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