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Paolo Ventura
Paolo Ventura

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100 algos in 100 days (Day 7)

Egg Question:

A building has 100 floors. One of the floors is the highest floor an egg can be dropped from without breaking.
You have 2 eggs. Find the least amount of drops.

My thought process:

The o(n) solution just iterating through

How to cut it down:

Go to the 50th one... but then worst case would be 49th. Surely better?

What about cutting it up in 10s.. 99th would be 19 drops.

Solution:

We need to decrease the number by 1 each time. So it is a triangulation problem.

We drop from the 14th floor since the quadratic of n^2 + n -200 = 0 solves to 13.651 so we round up.

This gives the worst case of 14 drops for the last floor or cool

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