8/26/2023 0 Comments Mini sudoku generator![]() Then, we need to evaluate whether the coordinates of the empt圜ell (which is a JS object or Ruby hash containing both coordinates) To begin implementing this algorithm, we must first define what our successful criteria are: rowSafe checks the uniqueness of the values in the row, colSafe checks it in the column and boxSafe in the 3x3 grid. I have outlined the process and components in Javascript below, but the full code for both Ruby and Javascript can be found at the bottom of this article. I implemented the backtracking solution in both Javascript and Ruby. However, if the algorithm is unable to place these subsequent values, it will backtrack to the last successfully placed value and change it to the next possible successful value and continue again. Let’s break it down here, or skip to the bottom for the full code.īacktracking is an algorithmic approach to solving problems under specific constraints (sounds like Sudoku to me!) in which a value is entered if it meets the conditions and then the algorithm proceeds to the next value. Using similar logic in a backtracking algorithm, we can write a small script that can both generate and solve these boards as well. Solving these puzzles by hand involves meticulously comparing values against these rules and inserting them if they pass. For example, the top-left region contains the values 5,3,6,8, and 9, and so these values cannot be placed again into any of the empty cells remaining in this region. These regions can be seen in the board above by their bolded borders. A grid region is a smaller 3x3 grid within the larger Sudoku board. So in the example board above, 5, 6, 8, 4, and 7 cannot be written into any of the empty cells in the first column.Įach value 1–9 can only be present once within a grid region. So in the example board above, 5, 3, and 7 cannot be written into any of the empty cells in the first row.Įach value 1–9 can only be present once in a column. However, each number that a player inserts must pass three strict rules:Įach value 1–9 can only be present once in a row. The goal for the player, is to fill all of the remaining boxes with values from 1–9. It is a quite popular game, but for those unfamiliar with the rules here is a quick synopsis, or you can see the Wikipedia entry here.Ī Sudoku game begins with a 9x9 grid partially filled with values from 1 to 9. Puzzle games like Sudoku have always fascinated me, and Sudoku in particular has helped me get through many long waits.
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