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CONTRADICTION NETS
I have long ago learnt not to argue with those who have closed minds. It would be waste of time to respond to the attacks on Contradiction Nets and my other methods by people who have not the faintest idea of what I am doing, and want to keep things that way.
However, no doubt there are other people with more open minds who would like my opinions on these matters.
Certainly it is possible to resort to Contradiction Nets in a stupid way: using blind trial and error and systematic brute force. The observant will notice that I have moved away from such stupid methods quite drastically, to the extent where there is no error at all.
Resulting from my study and analysis of the Sudoku, I arrive at a COHERENT STRATEGY. This is something unprecedented in Sudoku, and more resembles master chess.
In the past "strategy' has simply meant applying your list of available "techniques" in order of difficulty to eliminate candidates WHEREVER POSSIBLE. That is to say, if you see a naked pair, do it; if you see a chain, use it; if you see an ALS use it. This is not what I call strategy. It is just unplanned opportunism, and if you DON'T see anything, then you quit. That is of course what normally happens with the ultras.
By strategy I mean this: I don't TRY anything (no trial and error), and I make NO errors (no trial and error). What I do is create a MASTER PLAN: determine a precalculated sequence of steps which will lead to solution. The steps are all decided on before any of them are "tried" or put into practice. And these steps are all part of an organic whole. It's no longer a case of "Do what you can and hope that some unforeseen opportunity will appear."
It is rather stupid to condemn all past techniques based on Contradiction Nets without having any idea of what new Contradiction Net techniques might be discovered.
All that is not to say that there is anything wrong with using Trial and Error to an optimal extent. In one's studies, one should always TRY as many things as possible : that is the royal road to discovery and learning.
FINALLY, my strategies continue to develop and become more numerous, because there is not only ONE optimal strategy, but many possible strategies, which once they reach a reasonable stage of development may be used for different Sudokus.
In fact, as I expect and look forward to the appearance soon of 10.8, 10.9 and elevener Sudokus, there will be a continued pressure on the strategies and techniques within Contradiction Nets to develop in order to keep pace and continue to work.
This scenario is very far removed from the claims of the ignorant "that this has all been done before" and "that there are no advanced techniques involved." The ANSWER is DEVELOPMENT.
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