![]() ![]() In this example we have highlighted all the possible values for our candidate (the number 5). (Therefore any other y's within those columns can be eliminated.)įinally, as it was true for the x-wing, the converse is also true ( that is interchange the words, rows and columns) ,Īnd the theory holds. Then y MUST be assigned exactly once (and only once ) in each of the three columns within these.No included column (within the rows) can contain more than one y.Candidate y must be assigned once in each row.Restricted to the same three columns within those rows and: Given a general puzzle with three rows that has candidate y, in each of the three rows: then y must be Similar to an x-wing pattern, the swordfish theory proceeds as follows. The columns shared are 6 and 9, thus any other 6's in those columns can safely be eliminated. Only rows 1 and 9 meet the x-wing criteria ( that is 6's appear twice within the rows and the cells also share the same columns). Looking at the diagram we can observe the following: In this example we have highlighted all the possible values for our candidate (the number 6). (The converse of this theory also holds, that is interchange the words row and column above). Only appear once within each of the two rows, no column can have more than one y, and y willĪppear only once in each of the columns contained within the rows, and any other candidates If the number, say y, appears only twice in any given row, then we know it CAN only appear inįurther if y is also restricted to two columns (and no more than two columns), and since y can Given row, column, or sub-grid.) So for sudoku solutions with this method proceed as follows: (For one, we know that for any unique sudoku solution, the numbers 1-9 can only appear once in any Left corner and top right corner, which form an X, hence x-wing. To begin with the name X- wing refers to the top right corner and bottom left corner, or the bottom To solve Sudoku puzzles using this process, one must have recognition of number relationships They are slightly different from strategies such as elimination, CRME, lone rangers, etc, in that theyĭo not follow the standard sub-grid, row, column recognition patterns involved with the afore. These are very involved tactics and require extensive knowledge of Sudoku puzzle strategy., These Sudoku solutions techniques are for the serious Sudoku addict! ![]()
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