1 = 1/2 + 1/2
We're trying to get to 5 terms. So let's split 1/2 into two terms. 1 = 1/2 + 1/4 + 1/4
Hmm, let's do that again - this time splitting 1/4. 1 = 1/2 + 1/4 + 1/8 + 1/8
Ok, I'm pretty close. Can I split 1/8 into 1/9 and some mystery term? 1 = 1/2 + 1/4 + 1/8 + 1/9 + 1/N
Well, that's not hard to solve. N = 72.
I have the same problem with the various Japanese logic puzzles (Soduku, Nurikabe, Hashi, etc): 1) This is fun! 2) Hmm, I'm using the same algorithms to solve every puzzle 3) I could probably write a solver 4) Don't write solver. Move on to something else.