![]() ![]() is a project aimed to build a better decluttered sudoku experience. Previous: Web Sudoku easy: A Step-by-Step Guide for Beginners | Next: Magic square explained in simple terms About us Give it a try and see how it improves your Sudoku game! My first implementation solved 51 out of 123 of. Exocet takes on three or four candidate sets at a time which is just what is needed in the bottlenecks of extreme puzzles. With few bi-value and bi-location candidates other strategies give up. By looking for patterns and using logic, players can solve even the most challenging puzzles. Exocet is a pattern that can often occur in very hard puzzles where the candidate density is very high. In conclusion, the X-Wing strategy is a powerful tool in a Sudoku player's arsenal. However, it requires a keen eye for patterns and a good understanding of the game's rules. The X-Wing strategy is especially useful for solving difficult Sudoku puzzles, as it allows you to eliminate multiple numbers at once. Repeat the process with other numbers until the puzzle is solved.If the potential number appears in the same position in both rows or columns, eliminate it from all other cells in those two rows or columns.Check if the potential number appears in the same position in both rows or columns.Look for two rows or columns that have only two cells that could contain the same number.This can help you save time! Sudoku X-Wing tutorial: If you see four candidates in the corners of a rectangle, check if they form an X-Wing for both rows and columns. To spot X-Wings in Sudoku puzzles, search for rectangles of potential candidates. You may come across X-Wings, which are quite common, but they won't always lead to the ability to remove candidates. ![]() It also works the other way around: if you spot similar columns, you can often make removals from rows. The interesting thing about this technique is that it enables you to remove candidates from columns using information from two similar rows. In some cases, such as the one being discussed, you may not be able to remove any 6s from one column, but you can remove two from the other column, leaving an 8 as a single candidate. ![]() This knowledge allows you to look up and down the two columns where the 6s are located, and remove any other candidates. The clever part is that even if you're unsure which row has the left 6 and which row has the right 6, you know for certain that both positions will be occupied. If you examine a Sudoku puzzle, you'll find that whichever position 6 occupies in the top row, it forces the other 6 to occupy the opposite position in the bottom row. This creates a pattern that looks like an X, hence the name of the technique - X-Wing. Using the same logic, if you put a 6 in the top right cell, it would make the bottom left cell a 6 too. If you place a 6 in the top left cell, it would require the bottom right cell to be a 6 as well. Picture placing the number 6 in the top left of those cells - it would eliminate the other candidate in its row and also remove the candidate in the bottom left (shown with red arrows).Īs a result, the final cell would be forced to contain the number 6 (indicated by the green arrow). The trick to understanding X-Wings is to imagine what would happen if you chose just one of those positions - what would it do to the others? If you can't find any simple ways to progress in the Sudoku puzzle, check the positions where the number 6 could be in rows 4 and 9. Here's an example of how the X-Wing strategy works: This number is then eliminated from all other cells in those two rows or columns. The other possible cells involved are R3C1, R7C2, R8C2 and R9C2 but none of them have a "3" as candidate.The X-Wing strategy is a pattern that occurs when two rows or columns have only two cells that could contain the same number. You can eliminate candidate "3" (Z) from all cells seen simultaneously by both pincers, in this case R2C1. The pincers are the green cells: R3C2 (93 or YZ) and R7C1 (37 or ZX). In Nice Loop notation, you must include the cell(s) with the eliminated candidates to complete the loop: You can write it like this in Eureka notation: Chain NotationĪn XY-Wing is a short chain. One of the pincers shares a row with the pivot, the other shares a column. Up to 5 eliminations are possible in this formation. One of the pincers shares a row or column with the pivot, the other shares a box. SubtypesĪlthough the logic behind the XY-Wing is always the same, subtypes have been introduced to help players to recognize these patterns more easily. The pincers have candidates XZ and YZ.Īny cell that can see both pincers can not longer contain a candidate for digit Z, because the pivot forces either of the pincers to contain this digit. The pivot contains candidates XY, which explains the name of this technique. The chain uses only 3 digits, symbolically named X, Y and Z. The cell in the center is called the pivot. An XY-Wing is a solving technique that uses a short chain of 3 cells. ![]()
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