![]() ![]() It is the shortest, least deep path that I came up with - but it is likely not the shortest path possible. I did post a proof of that puzzle on that page. I did not find a manner of proof/solution that is as simple as you indicate. Without specific details, it is hard for me to make an exact evaluation of what you did on the puzzle of Jan 8. Next up, we take a look at W Wing variations. g2=1 = g2=7 - i1=7 = b1=7 - b1=1 = a2=1 forbids:Īgain, a more in depth explanation of forbidding chains will be presented in an upcoming blog.This elimination as a forbidding chain could look like: Here, by considering the three possible values for cell i1, 1 is clearly forbidden from The following matrix is almost identical: a1 = 1 Hopefully, you can see the symmetry above that allows for both eliminations listed.Īlmost Locked Sets as Y wing style exampleĮxcept for the extra 1 at cell i1, this configuration would be a standard Y wing. ~ means not.Īs a forbidding chain this elimination could be represented as: Symbols above: * is a wild card which could be anything, including nothing. Naked triples, and hidden triples, to name a few.īelow, experience the thrust commanded by piloting Y wing style: Y wing style example 1 Thus, the proven strong sets in eachĬolumn can provide additional eliminations. That each column has exactly one truth in it. Whereas all the items in the first column also form a native weak set, one can conclude Usually, the last statement concludes the logic, but, in the special case Everything seen by all the possibly true items in the first column.First column must have at least one truth Last two columns have at most one truth each, thus maximum of two outside.At least one truth in each row, thus a minimum of three in the matrix. ![]() The first column, labeled underneath with ?, is proven strong since:.Each of the columns labeled underneath as weak is a native weak set.Possibly null: Null variables are false.The table below, which I call a forbidding matrix, contains the logic for all The number of native strong sets to three, but does not limit the types of Previously examined techniques limit their search for strength to specificĬontainers within the possibility matrix. If needed, please refer to the blog reference page, Rather than remain terrestrial, Y wing styles launches a more galactic conveyance. The central command point of the Y directs strength to the outposts. Illustrates the power of training beyond the universe of typical sudoku solving. Puzzles that pilots this specific strategy. You may not find another site describing tips on how to solve sudoku Theīlog has been progressing through techniques relative to approximate difficulty. Links are to the right, under Sudoku Techniques. Welcome! If this is your first visit to my blog, you may wish to read some
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