![]() In this example, think of the blue cell at c6 as the starting point. This step could be written as: fc on 1's: d8 = f9 - g9 = g3 - i1 = a1 forbids a8=1 Interesting coloring example to be simple and customizable, the new service offers black and white or color. Thus, sans further grid examination, we know that a81 Pocket Posh Large Print Sudoku is wrapped in an irresistible package for.1's in row 1 limited to two locations:i1,a1.1's in column g limited to two locations: g9,g3.1's in box e8 limited to two locations: d8,f9.This example is one step deeper then the previous two. Coloring Example From Tough Puzzle of 12/23/06 In my humble opinion, such a grouping adds The elimination above is missed by programs such as the solver in Simple Sudoku Then learning each specific technique involving just one number is superfluous. However, if one generalizes the idea of coloring, Technique names are almost as much fun as the puzzles. To understand this idea - it will help though, both in clear communication and Press Control+P to print out the puzzles. Click on one of the letters (A, B, C etc) in the difficulty you would like. fc on 3's: c6 = c2 - e2 = e45 forbids d6=3Īgain, do not be disheartened by the forbidding chain language. To view & print the printable Sudoku puzzles: Choose the number of puzzles you would like per page from the drop-down list.Either one of e4, e5 being 3 prevents d6 from being 3Ĭonclude therefor that in every event, d6=3 is impossible and therefor forbidden.Since 3's in column e are limited to e2,e4,e5 - If e23 then 3's must exist within e45.If c2=3, then without even looking at the grid, e2 cannot be 3.Since 3's in column c are limited to c2,c6 - If c63 then c2=3.The logic is colorfully highlighted, but here is an explanation: This example is from the same puzzle as the first, after preforming the previously prescribedĮxclusion. Under one umbrella, Forbidding Chains and Forbidding Matrices.īlog pages currently under construction will discuss forbidding chains in some detail. ![]() The reason that I introduce forbidding chains at this time is quite simple:Īll the sudoku solving techniques, except perhaps those involving uniqueness of solution, fit Here is a brief key to terminology above: fc forbidding chain A = B A OR B, equivalent to A Union B A - B (not A) OR (not B), equivalent to A forbids B g8 shorthand for g8=number, in this case: g8=3 Using colors to deduce the possible eliminations. The term, coloring is derived from the common illustration of this technique In column g, the 3's are limited to two locations, g4 and g8. In this example, all the possible locations for 3's are highlighted by some sort of color. Many other techniques involving just one type of candidate can be placed under the tag, Xwings, Swordfish, Jellyfish, Finned Xwings, Finned Swordfish, Locked Candidates, and That is performed on just one type of candidate - or just one number, if you prefer. I also prefer to extend this idea to include any technique Amongst them are simple coloring, multi-coloring, colors. Get out the Crayola! Try and stay within the lines.ĭespite the childish name, this technique is VERY powerful.
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