#SUDOKU 9X9 SOLUTIONS SERIES#

Each cell contains either a single digit or has a set of possible digits.Given these constraints, we can devise a simple algorithm to solve Sudoku: For example, if a cell contains 1 then no other cell in that cell’s row, column or sub-grid can contain 1. Digits in the pre-filled cells impose constraints on the rows, columns, and sub-grids they are part of. Each of the nine 3x3 sub-grids must have all the digits, from 1 to 9.Įach cell in the grid is member of one row, one column and one sub-grid (called block in general).Each of the nine columns must have all the digits, from 1 to 9.Each of the nine rows must have all the digits, from 1 to 9.We are given a partially filled grid which we have to fill completely such that each of the following constraints are satisfied:

Solving Sudoku is a constraint satisfaction problem. Fast Sudoku Solver in Haskell #3: Picking the Right Data Structures.Fast Sudoku Solver in Haskell #2: A 200x Faster Solution.Fast Sudoku Solver in Haskell #1: A Simple Solution.

#SUDOKU 9X9 SOLUTIONS SERIES#

This is the first post in a series of posts: We’ll focus on both implementing the solution and making it efficient, step-by-step, starting with a slow but simple solution in this post 1. The aim of this series of posts is to write a fast Sudoku solver in Haskell. It is a good choice to solve Sudoku given the problem’s combinatorial nature. Haskell is a purely functional programming language. Some of the cells of the grid come pre-filled and the player has to fill the rest. It consists of a 9x9 grid which is to be filled with digits from 1 to 9.

Tags: programming puzzles haskell nilenso.

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Sudoku 9x9 solutions