![]() This is an early 'ultimate puzzle' but this crown has been usurped by the puzzle created by Arto Inkala, which is also in the example list. With the community's help I hope to extend the documentation here.įor those people wondering why " Escargot" cannot be solved by the solver, there is an article on this special Sudoku here. If you are interested in the concepts behind creation and grading, there is a PDF document here called Sudoku Creation and Grading. Many strategies can be further extended and we do not have a complete theory of all Sudoku puzzles. This strategy list is by no means complete. These are now included for the first time on this site. There are naturally special strategies for Jigsaw and Killers because of their differences. They are definitely worth presenting as a demonstration of people's ingenuity but you will only need to have recourse to them on the extreme puzzles. Do read the introductory articles Introducing Chains and Links and Weak and Strong Links.Įxotic strategies do overlap with chaining ones, but they have a peculiar flavour of their own and some wonderful, if obscure, logic. Thus, for example, Remote Pairs are a subset of XY-Chains that is, XY-Chains is a more general approach of which Remote Pairs are a specific instance. ![]() You will find, if you read through this group, that earlier strategies become part of a more general theory as the theme develops. This theme is all about bi-value (only two candidates left in the same cell) and bi-location (only two occurrences of a particular candidate left in the same unit) pairs and the incredible number of deductions one can make from them. Here we will use the above strategies to solve a puzzle.With chaining strategies, there is definitely a theme going through them. 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. Here we outline the basic strategies and then show how they are applied in a. The third is to consider the total value of a region. The second is to consider the different ways that a sum can be created. The first is to use the strategies for solving regular sudoku puzzles. Reducing the number of different possible ways of There are three basic methods used to solving killer sudoku puzzles. Sum Elimination This strategy examines the different possible ways of making the Use the orange guide to see which numbers youve already used in each row, column, and box. Use the numbers 1-9 in each of the 9 rows, 9 columns, and 3x3 boxes of the Sudoku grid. Possible values, then no other cell in that region can contain any of To play our free online Sudoku game, use your mouse and keyboard to fill in the blanks by clicking and placing numbers in the grid. 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 second is to consider the different ways that a sum can beĬreated. There are three basic methods used to solving killer sudoku puzzles.
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