The difference between brute-force and backtracking is that in backtracking, we do not explore all the possible options instead we explore only worthy options and build the solution incrementally. Sudoku can be solved in the way mentioned above. 3)Backtrackingīacktracking is a kind of brute-force approach which comes into picture when solving a problem requires considering multiple choices as we don't know which choice is correct and we try to solve the problem using trail and error method considering one choice at a time until required answer is obtained. A slight optimization to this would be the backtracking approach. This can be much time consuming and highly inefficient. In naive approach,the algorithm fills in the empty cells without any logic and later checks whether it was a valid placement. Given a partially filled sudoku(Fig 1.a) and a solution to it(Fig 1.b)Ī sudoku is valid if it satisfies all the following properties:ġ.Each row contains unique values ranging from 1 to 9.Ģ.Each column contains unique values ranging from 1 to 9.ģ.Each of 9 sub-squares ,of size 3×3, contains unique values from 1 to 9. Given a 9×9 grid, with some initial values filled.The objective is to fill all the empty cells of the grid with numbers such that it becomes valid. Sudoku is a logic based number placement puzzle. ![]() Probably you might know what sudoku is or might have heard somewhere about it.Let's begin with a brief note on it. We have presented the Time and Space Complexity for various cases. ![]() In this article, we have covered the Backtracking Algorithm for Sudoku and compared with the Brute Force approach.
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