Killer sudoku combinations

Killer sudoku also killer su dokusumdokusum dokusumokuaddokuor samunamupure is a puzzle that combines elements of sudoku and killer sudoku combinations. Despite the name, the simpler killer sudokus can be easier to solve than regular sudokus, depending on the solver's skill at mental arithmetic ; the hardest ones, however, killer sudoku combinations, can take hours to solve.

Killer Sudoku adds a new dimension to standard Sudoku, requiring arithmetic to solve. You will need new specialised Killer Sudoku solving techniques to progress in these puzzles besides the standard Sudoku techniques you will already know. An essential Killer Sudoku solving technique is the "45 rule". This uses the fact that every row, column and block must contain each of the numbers 1 to 9 once. Therefore, the total of all numbers in one row, column or block will always be

Killer sudoku combinations

Remembering common unique combinations is essential if you want to improve your time for solving killer sudoku puzzles. As well as cell cage combinations, we've included required digits further down. Some cells always require particular digits, regardless of the number combination that goes into them. Knowing these is a great way to eliminate candidate numbers from blocks, rows, and columns. Is it cheating? We call it a cheat sheet, but is it really cheating? Only you can decide! Our view is that a reference like this is no more cheating than using a dictionary to check your spelling. For us, puzzles like killer sudoku are all about the logic and not an exercise in memory or recall. New to killer sudoku? Be sure to check out our Killer Sudoku From Scratch tutorial.

The four cells in the top right cage totaling 15 can only include one of 1, 3, 7, or 9 if at all because of the presence of 1, 3, 7, and 9 in the killer sudoku combinations right hand nonet.

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A Killer Sudoku contains cages and cage sums. Knowing the number of cells in a cage and its sum, we can determine the possible cage combinations , i. For example, if we have a cage of 2 cells whose sum is 5, written 15[2], then either it contains the digits 1 and 4, or the digits 2 and 3. Manually enumerating the cage combinations for arbitrary cages can be very tedious, but some helper programs such as SumoCue can automatically compute the cage combinations for the player. However, for some cages, the cage combinations are easy to enumerate and can lead to candidate eliminations , either simply because the candidate is not part of any combination, or in conjunction with some other technique. One should be careful to list all combinations. Then we can eliminate the digits 1 to 6 from all three cells in the cage. Further, if all the three cells all belong to the same line or nonet , we can then apply Naked Triple to that line or nonet.

Killer sudoku combinations

A Killer Sudoku contains cages and cage sums. Knowing the number of cells in a cage and its sum, we can determine the possible cage combinations , i. For example, if we have a cage of 2 cells whose sum is 5, written 15[2], then either it contains the digits 1 and 4, or the digits 2 and 3. Manually enumerating the cage combinations for arbitrary cages can be very tedious, but some helper programs such as SumoCue can automatically compute the cage combinations for the player. However, for some cages, the cage combinations are easy to enumerate and can lead to candidate eliminations , either simply because the candidate is not part of any combination, or in conjunction with some other technique. One should be careful to list all combinations. Then we can eliminate the digits 1 to 6 from all three cells in the cage. Further, if all the three cells all belong to the same line or nonet , we can then apply Naked Triple to that line or nonet. Either way, the cage must contain the digits 8 and 9 in 2 of the 4 cells. Knowing this, we might be able to apply the Locked Candidates technique.

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Please help improve this article by adding citations to reliable sources. For an outside square, the solution is always the outside total — This does not seem particularly useful, but consider that the cell in the bottom right of the nonet is part of a 3-cage of 6; it can therefore only contain 1, 2 or 3. This can be useful if, for example, they have already deduced another cell within a nonet the cage resides in as having the number 1 as its solution. Contents move to sidebar hide. Article Talk. For example: a 4 cell cage totaling 13 has the possible combinations of 1, 2, 3, 7 , 1, 2, 4, 6 , or 1, 3, 4, 5. By adding up the cages and single numbers in a particular house, the user can deduce the result of a single cell. If there is only one cell available, it is a 1. As the solver can infer from these that certain numbers are in a certain row or column, they can begin 'cross-hatching' across from them. Learn how and when to remove these template messages. Not to be confused with "killer"-level i. Tools Tools. We call it a cheat sheet, but is it really cheating? Killer sudoku also killer su doku , sumdoku , sum doku , sumoku , addoku , or samunamupure is a puzzle that combines elements of sudoku and kakuro.

Killer Sudoku is a variation that adds additional sub-regions of 2 or more cells with a number in the corner of each sub-region. The numbers placed in the cells of the sub-region must be unique in that sub-region even it the sub-region spans more than one row, column or region and must add up to the number in the corner of the sub-region. Sub-regions are shown by dotted lines which group cells together.

This article includes a list of general references , but it lacks sufficient corresponding inline citations. Therefore, the total of all numbers in one row, column or block will always be Unsourced material may be challenged and removed. For example: a 4 cell cage totaling 13 has the possible combinations of 1, 2, 3, 7 , 1, 2, 4, 6 , or 1, 3, 4, 5. Take the first column of the Killer Sudoku shown in Figure 1. A further technique can be derived from the knowledge that the numbers in all houses rows, columns and nonets add up to For us, puzzles like killer sudoku are all about the logic and not an exercise in memory or recall. Download as PDF Printable version. Category : Sudoku. Killer sudoku also killer su doku , sumdoku , sum doku , sumoku , addoku , or samunamupure is a puzzle that combines elements of sudoku and kakuro. Knowing these is a great way to eliminate candidate numbers from blocks, rows, and columns. Love logic puzzles? Other puzzle-makers may produce entirely asymmetrical puzzles. For an inside square, the solution is always 45 — the inside total.