Main Page - Back
 
Strategy Families
From sudokuwiki.com, the puzzle solver's site
breakline
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
Basic Strategies Chaining Strategies Exotic Strategies Uniqueness Strategies



Sudoku X Strategies
Jigsaw Strategies Killer 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.
My response to Crooks Algorithm is 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.

breakline

Comments...

Sunday 13-Jun-2010

... by: Geoff

I have been doing the Sudokus out of the local paper (Queensland Times, Australia) and they are rated from One Star to Five Star.

I have just run across the first Five Star Sudoku where I am 3/4 finished but can not find any more hints.

Some of my friends tell me that you now need to start a 'trial & error' process ie if one cell can only be a 3 or a 5 - then pick on the 3 and see if it carries all the way through and if not, go back and pick on the 5.

I tend to think that there should always be a 'hint' to be found - is this correct?

Geoff

Tuesday 18-May-2010

... by: Lloyd Welton

Thanks for the great book. Never seen so many strategies so well explained in one book. Maybe in any following editions it should be spiral bound, that way it would a bit easier to use it as a reference.

Thanks again.

Sunday 21-Mar-2010

... by: Arcquados

Thx 4 everything.. Looking forward for more technique^^
also, plz complete this~

chaining strategies = AIC with ALSs
Exotic strategies = Pattern Overlay
Exotic strategies = Empty Rectangles
Exotic strategies = Sue-De-Coq
Uniqueness Strategies= BUG

right now.. I only know about the basic~ XD

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.

Add your comments

A confirmation email will be sent to you after submitting.

Your Name

Email Address - required for confirmation (it will not be displayed here)

Your comment or question

Remember me


Please keep your comments relevant to this article. Email addresses are never displayed, but they are required to confirm your comments.

When you enter your name and email address, you'll be sent a link to confirm your comment. If you want to be remembered, the check box above will store a cookie with your name and email address on your computer.

Line breaks and paragraphs are automatically converted — no need to use <p> or <br> tags.



Article created on 12-April-2008. Views: 209923
This page was last modified on 29-June-2010, at 10:10.
All text is copyright and for personal use only but may be reproduced with the permission of the author.
Copyright Andrew Stuart @ Scanraid Ltd, 2010