extension: What’s The Best Way To Drop N Smartphones?

In solving @laurafeiveson‘s first riddler problem, described and solved here, an extension was posed:

What about if you had n phones?

This makes the problem way more theoretical. To start we know if we had infinite phones that we would use a binary search. This gives us the upper bound and the answer from the two phone case gave us the lower bound. Then I stumbled upon the answer:

equation.png

This led to some sweet retweeting and stuff.

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