by doromo » Wed Feb 24, 2010 1:05 pm
I used to do that. I filled the entire grid with all the numbers as you described. I have found that it is not too helpful because it gives you too many candidates to work with. For example, how does it help when you need 6 numbers to add to 22? or 5 numbers that multiply to 144? There are just too many possibilities!
I start by marking all locked pairs (or triples) that are the only possibilties, like 2x7 = 14 or 1x5x7 = 35 or 8+9 = 17, or 1-9 = 8, etc. I then see if by marking out the "solved" candidates that I can identify the rest of that row or column. For example, if 8 is taken then 4/ must be 1 and a 4; if 2 is used already then 30x must be 1x5x6, etc. I then reiterate to see if I can solve the rest of that row or column. By this time, I usually have 1 or 2 squares solved and I keep expanding to other parts of the puzzle.
I find that I am able to solve most puzzles rather efficiently this way and I don't need the + button until the very last part of the solution. In general, I do not like to have more than 4 candidates in any single square since it does not give me very much information.