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Friday, April 30th, 2010

Time Event
10:39a
A complete waste of time!
So a few days ago, I got an amusing idea for an interview question which I realized was totally pointless as an interview question, because it has no practical value whatsoever. So instead, I'm going to post it on my blog, as a way to help waste the time of all my CS friends. There is no prize whatsoever for a correct answer, except for the satisfaction of having avoided work for a while solved an amusing problem.

Here are two really bad ways to sort an array:
  1. Random sort: Repeatedly select a random permutation and apply it to the set. Stop when it becomes sorted.

  2. Brute-force sort: Iterate over the set of all permutations of N elements. Apply each in turn. If the list is now sorted, stop.

The question is: which of the two is less efficient, and (the trickier part) by how much?

(Clarification: For the latter, "how much" in terms of average [mean] time to sort. You can also average over a large number of possible inputs)

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