Fixing Christmas lights today.
Figured out the binary search approach - e.g. as described by http://www.squidoo.com/howto-fix-broken-christmas-lights#module12970984.
My own embellishment: I find it hard to track where I am in checking the Christmas lights, and/or strand continuity. Even leaving empty sockets behind doesn't help that much, since the empty sockets are hard to see. And since I have a small work space, so had to fold the string of lights back on itself 3 times.
So I marked my position with binder clips. I happened to have at least 4 colours of binder clip. I used four clips to dedfine the boundaries of the interval where I was searching for a duff lightbulb - two clibs at each boundary. Two clips at each boundary because, given the folding ofg the string of lights, it became hard to tell which direction was towards the end, and which inside the interval. So I used two colours of binder clip at each end.
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