This helps us out immensely, as we can now eliminate the 2 as a candidate from several cells in those 3 columns. As you can see, in addition to there being a 2 in one of the cells in each of the 3 rows (which we already knew, since that’s what started the Swordfish technique in motion), we now know that a 2 will also reside in one of those 2 cells in each column as well. Either they’ll all finish in the green cells, or they’ll all finish in the yellow cells. This shows us the only two possible layouts the 2’s could finish in. To see how this technique unfolds, take a look at the next image. Also note how these three rows are connected along 3 different columns, which is what creates that closed loop. We can see that on rows 3, 5, and 8, we have 2 possible cells on each row that could contain the number 2. An X-Wing is also a forced loop, just a shorter one. This creates what is called a forced loop. The main points to remember are that 3 rows or columns have to contain 2 cells that the number in question MUST go in, and that these 3 rows or columns must be connected to each other (the rows must align with the columns or vice versa).
Since we’re dealing with 3 cells and 3 rows, there’s no forced box-like pattern like a 2 X 2 pattern forces. But perhaps even more so is the fact that Swordfish has no definable pattern like X-Wing. Swordfish is a little trickier to spot than X-Wing for 2 reasons firstly is the simple fact that the pattern is larger, with more cells involved. Next we move onto Swordfish, a technique in the same vein as X-Wing, only this time we’re looking at 3 columns and 3 rows, instead of X-Wing’s 2.Ĭheck out a sample scenario below. Look for this pattern when you’re stumped on a puzzle. So the two possible positions the numbers could end up in makes an X shape between the cells.
The name X-Wing comes from the fact that we know the number(s) in question must finish diagonally across from each other, since in each position there is a row or column connected to it. Without identifying the X-Wing pattern there, this puzzle would have been much more difficult to figure out. This is a great help to us in R7C7, where we’ve now unlocked the 8 as the big number and broken this puzzle open. Since we now know that a 5 must reside in each of those columns in one of the two specified cells, we can remove them as candidates from the other cells in those columns. So how do we identify this pattern? Well we can see on rows 2 and 5 that the 5 must reside in one of the 2 cells in the pattern (unlike the 6, which is not an X-Wing candidate because it can still reside elsewhere on both rows and columns still). This strategy can be deployed when you see this setup, with one number occupying each of the 4 cells, and when that number MUST occupy 2 of those 4 cells (in this case we have 2 numbers appearing in all 4 cells, but only the 5’s actually qualify for the X-Wing treatment). The key is that they are aligned along the same rows and columns. You’ll often see patterns like these on the more difficult game boards, and they’re always arranged in a similar fashion, though they may be spaced much farther apart. Take a look at the board below, which is set up to demonstrate this technique. Let’s start with one of the more well known advanced strategies, X-Wing. Let’s now look at some of the more complex strategies individually. Sudoklue will give you as much or as little help as you like.Sudoku Complex Strategies – The X-wing Technique – Fill all pencil marks with the tap of a button – Verify your current work with the tap of a button
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