In the other hand, if all possibilities don't clash there may be some positions in other blocks that can't contain the number in any case (aren't included in any chain), therefore you can eliminate the candidate in those cells.įinally if there are too many possibilities in some blocks the chains may be not useful at all. In case one of the possibilities clash (you reach a contradiction), you can directly eliminate it as candidate in that cell. Despite that, blocks with only 2 possible cells for that candidate will mean less chains to check, therefore better performance for the solver. It doesn't matter which block you pick to start with, the final conclusion is pretty much the same with a few exceptions I'll say below. Then, we pick a block and test in each possible cell which ones clash. Once we detect a number that follows that restriction, we mark its possible positions in the other 'unsolved' blocks. What we are looking for is a number that is solved (or given) at least once in every band and in a different stick for each band. These are my personal thoughts on this technique, but first I will shortly explain what it is (you can watch the videos for extended explanation) This sudoku technique is based on coloring and chains, but targets a very specific situation fairly easy to spot, both by humans and computers.
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