When we apply Naked Twins strategy, together with Eliminate and Only Choice, repeatedly, we will likely reach a solution to the Sudoku. As we do so, we recompute the possible value sets across the unit. So if two boxes have naked twins as possibilities, we can remove these possibilities from the rest of the boxes in the same unit. The naked twins problem: Each box must have a different value from the rest of the boxes in the same unit.Key AI concepts: Constraint propagationīelow is an explanation of how constraint propagation is applied to solve the naked twins problem and the diagonal Sudoku problem (see solution.py for the implementation): See the final section in this README document Sudoku explained for an overview of Sudoku, diagonal Sudoku and relevant terminologies. This project applies two AI concepts, Constraint Propagation and Depth-first Search, to solve diagonal Sudoku puzzles. The shape of each pair of adjacent squares shown is indicated by arrows.įor instance, a box at the bottom left with 24 in it means that the cells indicated by the arrow can have a possible number as 3 and 8, 8 and 3, 4 and 6, or 6 and 4.Solve Sudoku with Artificial Intelligence Synopsis The puzzle can be solved with the help of identifying numbers which are small numbers written next to the arrows in the intersections between the cells.Įach identification number is a two-digit product in two cells adjacent to each other. No column, row, or sub-grid can have two cells with the same number. Each column, row, and 3×3 sub-grid should be numbered 1 to 9.Ģ. The basic rules of this Sudoku are the same as those of standard Sudoku:ġ. Summary of Basic Rules for Diagonal Sudoku What about other diagonals in the grid?ĭepending on all the other short diagonals in the grid, there are a few if any exceptions that require special attention. Well, apart from these, you can find many other portals online to learn how to play Sudoku. If you want to play the diagonal sudoku game where you have an additional color barrier, you can play it online at the following locations: However, sudoku is a game in which you have to eliminate the possibility of all digits from a particular cell except one digit.Īn additional obstacle means that you may have more details to work with when trying to figure out which digit enters one of the cells in any of the longer diagonals. After all, it is only natural to think that a few issues have a lot of potentials. You may think that the absence of a sudoku diagonal rule would mean that the puzzle becomes easier to solve. Trying to ensure that the numbers 1 to 9 appear only once in the entire diagonal may also be a common puzzling sudoku puzzle.ĭoes a diagonal rule make Sudoku difficult to solve? In most cases, you are not concerned about diagonals unless you are playing this variant or another variant that has a drag rule. There is no rule that says two diagonals of 9 cells must contain the numbers 1 to 9 in standard sudoku. There is no short answer to this question. What about those? Do these two diagonals also contain all the numbers from 1 to 9 at the same time? On the sudoku grid, you can find two diagonals of 9 cells. The 3 x 3 circuits should contain the numbers 1 through 9 simultaneously, but not duplicative. In each row, numbers 1 to 9 should appear simultaneously without repetitionģ. Each column should be numbered 1 to 9 at a time without repeatingĢ. Sudoku is a very simple game, which is one of the reasons many people love it:ġ. Many people think that diagonal Sudoku is the hardest form of Sudoku, however, we have explained the rules of Sudoku below and leave it to the readers to determine which Sudoku is the hardest! Diagonal Sudoku Explained! However, there is a widely played variant of Sudoku in which we have to put all numbers from 1 to 9 into the diagonals. Is there a Diagonal Rule in Sudoku?įrankly speaking, there is no such thing as Diagonal Rule in Sudoku. For diagonal Sudoku, the main diagonals require to contain the numbers 1 through 9. A Sudoku puzzle consists of nine 9×9 squares and your goal is to cover every square with numbers ranging from 1 to 9.
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