Methods for solving sudoku puzzles8/3/2023 ![]() Now, no more squares can be solved with these techniques you are stuck. 1 is partially solved using easy and medium difficulty solving techniques: singles, hidden singles and column/block intersections. The term x-wing itself derives from the x-wing fighters in Star Wars. There is a relationship between the diagonally opposite squares, hence the “x” in x-wing. The x-wing techniqueĮssentially, this method uses the fact that in certain cases, there are only two possible ways of placing two numbers in four squares which form a rectangle. Whenever you solve a square, you must remove that number from the pencil marks in all other squares in the same row, column and block. With many advanced techniques, the key is to spot patterns within your pencil marks to eliminate possibilities within other squares. Pencil marks are small numbers, usually written at the top of each unsolved square, listing all the possible values for that square. Here we present the techniques that will help you solve the hardest puzzles using only logic and no guesswork.įirst a couple of preliminary points: if you have ever completed any Fiendish or Super Fiendish Sudoku, you will be familiar with noting down candidates or pencil marks. Please be reassured that all Sudoku puzzles published in the Times are always solvable by logical means. So, as we increase the difficulty Super Fiendish, the time has come to present the essential techniques for solving the most difficult Sudoku puzzles. Many have welcomed the new challenge but some have asked for help. In November 2006, The Times introduced a new extreme level of Sudoku giving players a more difficult level of logic: Super Fiendish. Here we will use the above strategies to solve a puzzle.Advanced solving techniques As seen on Times Online in February 2007 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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