Hardest technical questions you got in HF interviews?

What are some the technical questions you get asked in HF interviews? (L/S fundamental equity analyst). Are they really just like banking technicals or different? If you were applying for industrials sector, what would you make sure you knew before going into the interview? 

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This was for positions that I believe are different than what you are looking at (generally something like quant researcher positions), but at a few prop funds I was asked (among other questions)

- to give an efficient algorithm for finding if a point in 2d was on the interior of a polygon (with vertices given in order as a list)

- to calculate the probability of return to 0 of a particular asymmetric random walk

- to write a very dumbed-down regular expression matcher

- to give the optimal strategy for a Nim variant (with a small number of piles, and restrictions on the number of objects you could remove).

- to give an algorithm to efficiently calculate the median of a large set of numbers stored in a distributed fashion

Most of these problems were also phrased in a less direct way (and had to be reduced to what I gave above). I found them relatively challenging (but also quite fun!)

edit. Remembered a few more!

- the equivalent resistance across a wire cube (with leads on opposite corners) and a 1ohm resistor on each edge (I'm not a physicist... or an engineer, nor was the position related to that)

- an algorithm for efficiently generating a standard gaussian random variable from scratch

 

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