Methods for solving sudoku puzzles7/22/2023 Similar techniques are used to solve this medium rated Sudoku puzzle. In addition, the 6 has only one remaining place for this row and column.įigure 9 demonstrates the different techniques that can go into finding a particular value. There are other 6s in blocks above and to the left and right. In fact, this 6 is particularly easy to spot. Usually, it would not be possible to place all the remaining numbers in sequence. On this occasion, you can place the final 6 in the bottom centre block. In the past example, you can see that the first 6 lead directly to finding the 6 in the column.Ĭontinuing along this line, it is easy to spot another 6 in the block above. Generally, it is a good idea to focus initially on the same number. However, the 6 can only lie in one of the 3 available squares as there is a 6 to the left of the other remaining gaps in the column. In this column, there is space for a 2, 6 and 9. Pick one and identify the numbers that are missing. The Sudoku has several near-complete rows and columns. The next method is very similar as it utilises the same technique, but this time for rows and columns. This method is relatively easy, provided you can identify good numbers to search for.Ĭontinuing with the same method, there is an easy 6 in the centre left block. With the row and column eliminated, there is only one square remaining for the 3 in the block. Now, both the top row and the first column of the block already contain a 3. If you look down from this block, there is a second 3 allocated to the first column in the block. You should be able to spot a 3 to the right, eliminating the possibility of another 3 in the top row. Scan for any of the numbers: 1, 2, 3, 5 or 7 that have yet to be placed in this block. You scan rows and columns to eliminate where a specific number can be in a given region. Look along to the blocks to the left, right and below. Solving the Sudoku Puzzle sometimes can get really hard and challenging, but here are some steps to follow that can help you become faster and more efficient while playing this game. Generally, it at the beginning it is wise to choose blocks that are more complete: these often lead to some easy squares to solve. method used by our program (and humans) in an attempt to solve a Sudoku puzzle. Here, you can see the highlighted block has 4 out of 9 squares present. The model begins with the formulation of a Sudoku puzzle solving. Using this knowledge, one can attempt the easiest technique: identifying a unique number to go in each block in the grid. The majority of puzzles can be solved using just one key technique.Īs you know, the numbers from 1 to 9 must be placed once in every block. As a result, this study shows that ACO is an effective method that can be applied to solve Sudoku puzzles.Simple solving techniques The essential solving technique for all Sudoku puzzlesĪll correctly formed Sudoku puzzles are solvable using logical solving techniques. In each video, a live view of the puzzle fills the left half of the screen, next to a webcam view of Anthony or Goodliffe, who commentate on their attempts to solve it. Experiments show that this hybrid ACO algorithm can solve the hardest Sudoku puzzles less than one second. In the heuristic step ant colony optimization algorithm (ACO) will be applied to the puzzle. If still puzzle is not solved completely then heuristic step applied to solve the puzzle completely. There are more than a few techniques to solve a Sudoku puzzle, but per Conceptis Puzzles, the easiest way to a Sudoku solution is to, Scan rows and columns within each triple-box area. If puzzle is not solved completely than improvement analytical step is applied to solve the puzzle. In the first analytical step, basic manual Sudoku solving methods are used to solve the puzzle. The developed hybrid algorithm includes two analytical steps and one heuristically step. In this study I tried to develop a hybrid algorithm which consist both analytical and heuristic steps to solve the Sudoku puzzle. So it also draws attention of the scientists to develop methods and algorithm in order to solve Sudoku puzzles. This puzzle is an NP-Complete problem which means that a very hard problem that is required deep and efficient algorithm to be solved. Sudoku puzzle is a popular logic game since 2005.
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