Strategies for Number Puzzles of all kinds
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Solvers
Puzzles
Basic Strategies
Tough Strategies
Diabolical Strategies
Extreme Strategies
Depreciated Strategies
Str8ts
Other
The Logic of Sudoku
  Strategy Families

There are two ways one can group all the stratgies for Sudoku. By difficulty and by family. Difficulty is rather subjective but necessary, for example, when selecting which strategies to test for in the solver. Some strategies will always be easier for some people to spot than others but I believe I have chosen an ordering which is not too controversial. So the main documentation has a side menu organised by difficulty.

New article, December 2009: The Relative Incidence of Sudoku Strategies
With chaining strategies there is definitely a theme going through them. This theme is all about bi-value (two candidates left in the same cell) and bi-location (two candiates left in the same unit) pairs and the incredible number of deductions one can make from them. You will find, if you read through this group, that earlier strategies become part of a more general theory as the theme develops. Thus for example, Remote Pairs are a sub-set of XY-Chains; that is XY-Chains is a more general approach of which Remote Pairs are specific instance.

Exotic strategies do overlap with chaining ones, but they have a peculiar flavour of their own and some wonderful, if obscure, logic. They are definitely worth presenting as a demonstration of peoples ingenuity but you will only need to have recourse to them on the extreme puzzles.

There are naturally special strategies for Jigsaw and Killers because of their differences. These are now included for the first time on this site.

This strategy list is by no means complete. Many can be further extended and we do not have a complete theory of all sudoku puzzles. If you are interested in the concepts behind creation and grading there is a PDF document here called Sudoku Creation and Grading. With the communities help I hope to extend the documentation here.




For those people wondering why "Escargot" cannot be solved by the solver, there is an article on this special sudoku here.


I'm pleased to include on this web site the Sudoku Song (MP3 file) by Peter Levy (official web site here). Peter wrote and recorded this song a couple of years ago and managed to capture the essence of the Sudoku craze to great aclaim. Thanks for sending to me Peter.

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Comments...

Wednesday 27-Jan-2010

... by: Francisco Gueiros (Brasil)

Não consegui solucionar esse problema

Thursday 20-Aug-2009

... by: John C Raaen, Jr.

I blew it! The setup for a Virtual Wall is A1=1, A3=3, D2=4 and B4=4. Then A7, A9, C1, C2 and C3 are the "candidate squares for "4". Sorry!

Wednesday 19-Aug-2009

... by: John C. Raaen, Jr

I see no examples of my concept of a wall or virtual wall. If boxes are A thru I and the squares are 1 thru 9, fill A1=1, A2=2, A3=3. This is a wall. Any number other than 1, 2 or 3 in box B or C, say B1=4. can be placed only on squares C1, C2 or C3, and on A7, A8 or A9. Usually some of those candidate squares are already occupied, often leading to an easy placement of, in this case, a "4". (Of course, the squares B and C, 1, 2 and 3 are excluded in the above.)

In a virtual wall, use the same setup but leave A2 blank and put the "2" on D2=2. Again, the "4" can be placed only on squares C1, C2 or C3 and on A7, A8 and A9.

I am sure this simple technique is included somewhere on this site.

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Article created on 12-April-2008. Views: 179462
This page was last modified on 7-March-2010, at 20:20.
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Copyright Andrew Stuart @ Scanraid Ltd, 2010