The split cage with total 11 can contain the numbers. Each smaller split cage will have fewer possible combinations than the larger 17 cage. 2.Īlthough this method has not immediately solved any squares, it has given you more information about the squares in the 17 cage which will be useful later on in the solving process. Using this information, you can now split the 17 cage up into two smaller cages, each with its own total, as shown in Fig. So the total of the two inside squares is 45 – 34 = 11, and the total of the two outside squares is 17 – 11 = 6. The inside total for the top left block is 12 + 14 + 8 = 34. Unlike the standard 45 rule, you will end up with the total of two squares, instead of the solution for one square. You can therefore use the multiple square 45 rule to find the total of the two inside squares and of the two outside squares. This 17 cage has two squares inside the block, and two squares outside. 1), all cages lie completely inside with the exception of the cage with total 17 in the first and second columns. In the top left block (highlighted in Fig. It applies the 45 rule when there is more than one inside or outside square. The multiple square 45 rule is an extension of the 45 rule. You will need specialised Killer Sudoku solving techniques to progress in these puzzles besides the standard Sudoku techniques. Killer Sudoku adds a new dimension to standard Sudoku, requiring arithmetic to solve.
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