KILLER SUDOKU RULES FREE
Good luck with solving killer sudoku - if you have any other solving tips, then we'd love to hear them so do feel free to contact us so we can add them here! This means that the square with the '18' in on the image must contain 8, since 18 - 10 = 8.Īnd there you go, using the rule of 45 you've instantly placed a number in the puzzle, how easy was that? If you get stuck when solving killer sudoku, or even right at the start, look for instances where you can apply the rule of 45 to make progress or possibly just narrow down the possible values for squares. But look! Those two cells that sum to 10 are part of a region of 3 squares that sum to 18. So we know those seven cells must sum to 24 + 4 + 7 = 35. Now, we have three cages fully inside the box. You know that the numbers there must sum up to 45. However, we can instantly place a number using the rule of 45. Here we have zoomed in to look at two box regions in a 9x9 killer sudoku puzzle that is completely unstarted. To find out how this works, let's look at an example: We can use this fact to make deductions about possible values of squares in killer sudoku puzzles. It is called the rule of 45 because the numbers from 1 - 9 sum to 45, and it reminds you that the total of each region - row, column and box - must be 45 in killer sudoku. One of these is called the rule of 45, and is useful with harder killer sudoku puzzles. There are some tougher killer sudoku strategies too. In fact, with many puzzles all you will need to solve them is a combination of the above rule - which will be familiar to anyone who has solved kakuro - and the sudoku rules. The interplay between known ranges plays a great part in whittling down the options and solving killer sudoku puzzles.
If those squares are all inside a larger region, then of course you can eliminate them as possibilities from the other squares in the region. If you have 10 from four squares, then those must contain 1,2,3,4 in some order. For instance, if you have a cage of 24 from three squares, then you know those must contain the 7,8,9 in some order. It will help you greatly to start to learn the most popular combinations so that you can write them straight in without working them out. Since you won't want to go through the entire grid at the start and work out all possible candidates as that is dull and time consuming, it can help to look for either high or low value combinations for each length of cage. Killer sudoku solving rules start with the fact that you will have to get familiar with combinations, and those that sum to certain numbers. Since sudoku rules are already extremely well-documented and you will no doubt be familiar with them, we will instead look at the killer sudoku rules. Sudoku rules are those you will already be familiar with from standard sudoku: looking to see if there is only one place in a region where a value can go, looking at the possible values for each cell, looking to use region intersection rules and also looking at sets.
There are two main sets of strategies: those that are generic to sudoku and those that are specific to killer sudoku. How do you go about solving killer sudoku? There is no doubt the grid can look quite intimidating at first, particularly as typically there will be no givens in the grid to get you started. As you'll notice, there is one addition to standard sudoku: the caged regions, and the fact that the numbers are actually used as numbers by that additional rule, as opposed to standard sudoku where the numbers could be replaced by any symbol. Ensure that the numbers you place in each cage (dotted-lined region) sum up to the number given at the top-left of that cageĪnd that's it for the rules.The regions are the 9 columns, 9 rows and 9 3x3 bold-lined boxes.Place the numbers 1 - 9 once in each region.First, let's look at the rules of the standard 9x9 killer sudoku puzzle: Killer sudoku is one of the most popular sudoku variants.
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