![sudoku generator algorithm sudoku generator algorithm](https://blogs.sas.com/content/sastraining/files/2015/02/Figure-2.png)
I have a multidimensional array set up for holding the values called matrix.
SUDOKU GENERATOR ALGORITHM CODE
I have written it based on this though it does differ as I had written a lot of my code before I stumbled upon this. The algorithm for generating the problem has been divided into two parts, one for generating the complete grid and the second for the problem grid.I have written an algorithm for generating a Sudoku board but it is failing. The program has considered the development for the standard value of n=9 but it has a flexible interface defining all the constants which can be changed and the program can be extended for larger values of n. Generally Su-Doku is played with a value of n=9 (p=3).
![sudoku generator algorithm sudoku generator algorithm](https://a.fsdn.com/con/app/proj/sudoku-game-solver-generator/screenshots/screen4.png)
Now we will explore the Branch and Bound approach in detail. The advantage of this method is that it will not be trapped inside an infinite loop and a solution will definitely be generated.
![sudoku generator algorithm sudoku generator algorithm](https://miro.medium.com/max/1617/0*j1tbG3H-M6o8mp1o.png)
Generating a valid: For a 9×9 grid to be a valid Sudoku grid, the. Though I will be explaining the code in detail it would be better if you read and understand the algorithm from the above-mentioned site. The algorithm followed by me is taken from Sudoku Algorithm.
SUDOKU GENERATOR ALGORITHM HOW TO
In this way, a problem grid can be originated. Hi, I am going to explain to you how to make a sudoku puzzle generator in java. If after removing a number, the problem is having a unique solution, generate other child otherwise kill the node (replace the number in its original position) and remove the other number. After the first step is completed, remove the numbers one by one at random. This means while filling a square, mind the principle of uniqueness. In the first step, we fill the grid completely at random under constraints. The aim of the puzzle is to enter a numerical digit from 1 through 9 in each cell of a 99 grid made up of 33 subgrids (called 'regions'), starting with various digits given in some cells (the 'givens'). In this algorithm, we follow a two step procedure to generate the problem grid. Sudoku is a logic based placement puzzle, also known as Number Place in the United States. I applied an algorithm based on Branch and Bound technique. The most difficult aspect of SuDoku is how to generate a problem which has a unique solution. (not all squares are filled and cansolve=true ) Įlse if (a number exists which is not illegible for any other square in that row,įill the square with the candidate number In the symbolic form, the algorithm can be stated as: The algorithm implemented just follows the procedure described above. Proceeding in this manner, a unique number can be found for all squares. When a square is remaining with only one number or a number is such that it cannot be in other squares of the row or column or box corresponding to the square, fill the number and remove the possibility of the number from squares of the row, column and box belonging to the recently filled square. Then on the basis of ‘principle of uniqueness’ discard the numbers that cannot be filled in that square. The simplest method of solving SuDoku is to mark all the possible values (1- n) a square can have.
![sudoku generator algorithm sudoku generator algorithm](https://cdn-images-1.medium.com/max/1440/1*QSuvZRoIHs2J_XmFScMPvQ.png)
Let me put the rule into a precise definition which will help you to understand the code: I tried my hand at developing SuDoku one year ago and after a long time, am sharing it with everyone. Well, SuDoku is not a new game and many softwares are already available on the net for playing SuDoku.