How do you write a good detective story? In particular, how do you handle a detective short story? They're not going to be as long and complex as a full novel, so it's best to keep it simple.
You have to get the the solution in around ten to twelve pages. This means no long and complicated backstories. It also means that you have to set up the mystery fairly quickly, even if the murder happens halfway. And the number of clues is reduced.