How to Solve Killer Sudoku
Killer Sudoku is a logic game created from the combination of Sudoku and Kakuro. In Kakuro players must fill in a crossword-like puzzle knowing only the sums of the lines in the puzzle. In Sudoku players must fill a grid using the numbers 1 through 9 exactly once in each row, column, and smaller 3 by 3 nonet. In Killer Sudoku players must fill out a traditional 9 by 9 Sudoku grid using the numbers 1 through 9 in each row, column, and 3 by 3 nonet; but the only clues the player gets are the sums of certain groups of caged entries.
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Instructions
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1
Eliminate digits by determining the number of possible combinations that can make the sum of a given cage using only the number of cells in that cage. For example, if you have a three cell cage that sums up to 6, 7, 23 or 24, there is only one possible combination of numbers that can equal the given sum. The combination for a sum of 6 is 1, 2 and 3; the combination for a sum of 7 is 1, 2 and 4; the combination for a sum of 23 is 6, 8 and 9; and the combination for 24 is 7, 8 and 9. There are no other ways to get the given total with a combination of 3 cells.
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2
Check the caged cells with the highest and lowest total first because they have the smallest number of combinations that can add up to the given total.
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3
Check each row, column, and 3 by 3 nonet to ensure that the total value of the digits in that region is equal to 45. If all the cells that are caged in a region add up to some number less than 45, subtract the total of the caged cells from 45; the cells that are not caged must add up to the difference you find.
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4
Fill in the missing digit for any rows, columns or 3 by 3 nonets that contain all the digits from 1 to 9 except for one. Each row, column and 3 by 3 nonet must contain all the digits from 1 to 9.
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5
Ensure that no Sudoku region (row, column or 3 by 3 nonet) contains duplicate digits. Every row, column and 3 by 3 nonet on the board must contain the digits 1 through 9 only once.
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