Brute force sudoku solver python
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A complete guide to solving a Sudoku puzzle with a recursive method Sudoku is a popular Japanese puzzle game that is based on the logical placement of numbers. It doesn’t require any special mathematics skills or calculations. Let’s look at an example below from Wikipedia: It is a 9x9 grid puzzle (81 squares). At the beginning of the game, some squares are filled with digits, while most of them are empty. The goal of Sudoku is to fill those empty squares with digits so that each row, column, and 3×3 section contains numbers between 1 to 9. The players need to use logic to fill in the missing digits and complete the grid so that all the constraints and rules are satisfied. A move is incorrect if:
Sudoku Solver (Brute Force Approach)In this article, I will share how to solve the Sudoku puzzle above using a brute force approach. First of all, let’s represent the puzzle as an 81-digit string: Afterward, we can create the Sudoku Solver by following this three-step recursive procedure:
This brute force approach uses a recursive function that is similar to using an 81-level nested Step-by-Step GuideNow let’s see how to implement it using code. 1. Find the location of the first 02a. How to tell if element i and element j are in the same rowFrom this code snippet, we can see that 2b. How to tell if element i and element j are in the same columnFrom this code snippet, we can see that 2c. How to tell if element i and element j are in the same blockFrom these code snippets, we can see that if elements same row = {3, 5, 7}, same column = {8}, same block = {3, 5, 6, 8, 9}Sudoku Solver SolutionNow let’s combine everything above and solve the Sudoku puzzle. I hope you learned something from this tutorial. Recommended ReadingCan you brute force Sudoku?Although it has been established that approximately 5.96 x 1126 final grids exist, a brute force algorithm can be a practical method to solve Sudoku puzzles. A brute force algorithm visits the empty cells in some order, filling in digits sequentially, or backtracking when the number is found to be not valid.
Can a 9 * 9 Sudoku have multiple solutions?A Sudoku puzzle can have more than one solution, but in this case the kind of logical reasoning we described while discussing solving strategies may fall short.
How does Python solve Sudoku?Solving Sudoku using Linear Programming in Python. Step 1: Define the Linear Programming problem.. Step 2: Set the objective function.. Step 3: Define the decision variables.. Step 4: Set the constraints.. Step 5: Solve the Sudoku puzzle.. Step 6: Check if an optimal result is found.. What is the fastest someone has solved a Sudoku puzzle?According to Guinness World Records, the fastest time to complete a “Very Easy” difficulty Sudoku puzzle was 1 minute 23.93 seconds. The record was set on May 20, 2006 by Thomas Snyder, an American Sudoku champion.
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