In general, to use the 45 rule, look for a row, column or block where all cages except one lie completely inside.įor an inside square, the solution is always 45 – the inside total. In the case, it was easier to calculate the inside total, but if the cage lying partly outside has one square outside and more than one square inside, the outside total should be used to calculate the outside square. This could also have been solved another way, by finding the 'outside' total - the total of all cages within the column, including the one lying partly outside.Īgain, as all the squares within the column must add up to 45, the 'outside' square is 54 – 45 = 9.
The 14 cage can now be completed by solving the other square as a 9. Now, as the whole column must add up to 45, the ninth square (the 'inside' square in this case as it is inside the column) must be 45 – 40 = 5. The numbers in this column will add up to 45.Īdditionally, because the first four cages in this column (the 15 cage, the two 9 cages and the 7 cage) lie completely within the column, the numbers in the first eight squares total 15 + 9 + 9 + 7 = 40.Ĭall this the 'inside total', because it is the total of all cages which lie completely inside the column. Take the first column of the Killer Sudoku shown in Figure 1. Therefore, the total of all numbers in one row, column or block will always be 45. This uses the fact that every row, column and block must contain each of the numbers 1 to 9 once. The 45 RuleĪn essential Killer Sudoku solving technique is the "45 rule". You will need new specialised Killer Sudoku solving techniques to progress in these puzzles besides the standard Sudoku techniques you will already know. 2 For example, if a larger square has numbers 1-3 and 5-9, you know it's missing the number '4,' which you can fill in. Just figure out what number is missing from 1 to 9. Check each square to see if it has a single square open.
#Hints to solve extreme sudoku windows#
It is available on most platforms: PC, Mac, iPhone, iPad, Android, Google Play Store, Windows Phone, Amazon Appstore, Blackberry and more! You can also play Sudoku on Facebook.Killer Sudoku adds a new dimension to standard Sudoku, requiring arithmetic to solve. Look for a single empty in a larger square. Sudoku Epic supports four game modes: regular Sudoku, Mini-Sudoku, Wordoku and Killer Sudoku. This is especially helpful in Killer Sudoku puzzles. In addition, you can enable a setting to fill in notes at the start of the puzzle. If you play killer sudoku puzzles in Sudoku Epic, you can tap/click and hold for 1 second on a cell to bring up a list of possible combinations for that cage.
When applying the above rule to rows, columns or regions, also remember that you can extend it to cover two or three complete regions, with sums totaling 90 or 135 etc.ĥ. It contains four complete cages with sums of 9, 12, 14 and 2. E.g: Look at the lower right 3x3 region in the above puzzle. This means that if one or more cages are contained fully within the same house, then the sum of the remaining cells can be deduced. A very useful tip is that the sum of all numbers in a house (a "house" is any row, column or 3x3 region) is always 45. The more extreme (high or low) a sum is, the fewer possible combinations of numbers there will be.ģ.
Try to find cages with very low or very high sums. In the above puzzle, there are several of these e.g. First try to find cages with only one cell. Numbers cannot repeat within a single row, column or 3x3 region.Ī partially solved puzzle.Make sure the cells can be added up to the sum of its cage.Every cell is a part of a cage, indicated by colors.Fill all rows, columns and 3x3 region with numbers exactly like in regular sudoku.The concrete rules of killer sudoku are as thus: Note the color cages, and the sum for each cage. Each cell in a cage is added up and must match the sum of that cage.Īn unsolved killer sudoku puzzle. Each of these cages has a sum, and you must work out what numbers to put in each cell based on the sum of the cage. An in addition to the rows, columns and 3x3 regions, every cell is also a part of a cage, indicated by different colors. In killer sudoku, no numbers will be filled in at the start. The difference is how you arrive at those numbers. Your goal is the same as in regular sudoku: fill every row, column and 3x3 region with the numbers 1-9 once. Killer Sudoku is a mix of Sudoku and Kakuro.
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