This Sudoku variant will add a new and distinct level to Sudoku. To play, complete the grid so that the numbers in the dashed cage sums to the total and every row, column and every three-by-three box contains all the digits 1 to 9. Either way, the second 'group' cannot be 4/7, so the 4 and 7 in C5 and C8 are impossible and can be eliminated.įifth Example of Impossible Combinations (Version 9. We have the world exclusive: the first truly interactive Killer Sudoku solver and generator. Sudoku grid, with three killer cages that are marked as grouped together. For a more detailed explanation, check out this guide. In a 3-digit cage with a sum of 7, there is only one valid combination: 124. The digits in a cage, usually marked by a dotted line, add up to the small number given in the corner of the cage. If, on the other hand, the first Group turns out to be 4/5, then the second 'group' also cannot be 4/7 (due to the elimination of all other 4s and 5s Killer Sudoku Rules Standard Sudoku rules apply. If the first Group turns out to be 2/7, then the second 'group' cannot be 4/7 (due to elimination of all other 2s and 7s in the same Row). The average number of calls is 93.0, while the maximum number of calls is 588. For Norvig’s 95 hard puzzles, the code takes a total of 11.69s, with an average time of 0.12s per puzzle. The second 'group' (C5 and C8, whole Squares coloured green) must add up to 11, which means possible combinations of Solutions are: 2/9, 3/8, 4/7 or 5/6. This code takes 0.15s and 39 calls to solve to solve the Inkala puzzle. The first Group (C1 and C2, outlined in red) must add up to 9, which means possible combinations of Solutions are: 2/7 or 4/5. Its own right (the 'Two Squares' analysis is looking at Rows A and B to work this out). The first Group (E8 and F8) must add up to 13, which means possible combinations of Solutions are: 4/9, 5/8 or 6/7. Below are all possible combinations of numbers that can be placed in a Killer Sudoku cage, given the cage size and the cage total. Its useful for certain types of puzzles, like for example this killer sudoku. Killer Sudoku cage combination reference. Working in conjunction with the 'Two Squares' analysis - so the second 'group' is actually two odd Squares with a known total, rather than a Group in shows all possible combinations of numbers that add up to a given sum. But now the 'Impossible Combinations' analysis is In this fourth example, there are also two Groups of two Squares - similar to the pevious example.
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