I'd been writing lots of mathematically intensive code for building and solving large scale linear programs for about a year, and I interviewed at a job that was doing lots of math-ish business analysis. Code would certainly be written.
I was incredibly busy, and mainly spent my interview prep on math I thought would be relevant, though I really didn't adequately prep for the interview.
One of my interview questions involved some simple (really, I must be honest there, it was simple) recursive tree traversal. I blew it, and I'm pretty sure this is why they didn't hire me.
Six months later, I had to use quite a bit of tree traversal to model a series of conditions that had to occur in several possible patterns for a manufacturing system. Because there were various combinations of events that would "pass", I used trees to model the system, and I needed to recursively determine, in the event that the system didn't pass, what possible paths (including the least cost path) existed to bring the system into compliance.
I picked up my old reference books, reviewed for a couple days, and started writing code. As I did this, I started to feeling kind of embarrassed about the questions I had failed, since I was now reminded of how basic they actually were. I was chatting with a coworker about it and mentioned the interview, and told him that I could see why they didn't want to hire me.
He's my buddy, so he tends to say nice things, but he said (paraphrasing from memory): "but wait, doesn't that prove the opposite? The moment you needed to do tree traversal, you knew exactly where to go look. You know about these algorithms, you've done them and taken exams on them in the past, you just don't walk around ready to implement these algorithms on the spot."
So ok, BFS is so basic that I'll probably never forget how to to it again. But right now, this moment? I'd have to reason back through it. To get really sharp (especially since I won't know the questions in advance), yeah, I'd have to hit the books for a while.
Just how many times do I need to re-take my Data Structures and Algorithms midterm?