There were many mobile apps and websites that did this already, so there wasn’t too much interest.
As a programmer who somewhat loves puzzles and programming challenges, I thought many times of writing a program to solve Sudoku puzzles programmatically, and maybe generate new puzzles too. I was quite a fan of Sudoku puzzles when they became popular back in the mid-2000’s. I wanted to write a program that, using only logic, could solve Sudoku puzzles. Here we will use the above strategies to solve a puzzle.Solving Sudoku Puzzles Programmatically, with Logic, and without Brute-force The sumĬalculator found in the online player page canĪpplying the basic strategies. Has a total of 3, 4, 16, or 17 there is only one combination of values Many ways of reducing the number of sums. Making a sum, can often lead to a potential solution. Reducing the number of different possible ways of Sum Elimination This strategy examines the different possible ways of making the Possible values, then no other cell in that region can contain any of If there are kĬells contained entirely in a region that contain exactly k different Rule of K The Rule-of-k is an extension of the Rule-of-1. If S is the sum of all the cages containedĮntirely in a region, then the cells not covered must Thus, each sudoku region has a total value Rule of 45 Each sudoku region (i.e., row, column, or nonet) contains theĭigits one through nine. Thus, if all the digitsīut one appear in a row, the missing digit must appear in the empty In the former case, each region must containĪll the digits one to nine. Rule of Necessity This rule can be applied to sudoku regions (i.e., row, column, or Likewise, each digitĬan appear in a cage only once.
Row, it cannot be in any other cell in the row. In a sudoku region each digit appearsĮxactly once. No region canĬontain any duplicate digits. Rule of 1 This comes directly from the definition of sudoku. The following are the basic rules used to solve killer sudokus. (The Terminology used on this page is defined on the rules page.) At a later date we will post more complex We outline the basic strategies and then show how they are applied inĪ sample puzzle. The third is to consider the total value of a region. The second is to consider the different ways that a sum can beĬreated. The first is to use the strategies for solving regular sudoku puzzles. There are three basic methods used to solving killer sudoku puzzles. More advanced example based on weekly 183 Killer Sudoku Solving Strategies.A daily (#1271) is easier than it looks.More advanced example based on weekly 74.More advanced example based on weekly 28.More advanced example based on weekly 24.
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