... by: LokiMomus
Is there a more generic strategy for this wxyz already mentioned? Couldnt find it, though I admit I havent read all strategies thoroughly. I don't have an example sudoku for this, but consider the given example and lets say row 3, column 5 has 379 as available options instead and i include an extra cell into the strategy, row 3, column 6, which has 379 as available options. Row 3, column 3 has instead the values 34579.
The theory still holds. Filling in the 9 in the yellow box will result in an invalid situation, so i can scratch the 9 in the yellow box.
In other words, the more generic requirement should be that there can be n cells of the same cellgroup as long as they have n+1 distinct symbols. (the +1 is for the symbol (9 in this case) that we are considering). The other rules stay intact.
The substrategy of wxyz-wing would be with n=1.
My question to you is: Is this strategy already mentioned on the site? If not, can it be solved by using multiple others?
Note:
This strategy can be even made more generic if there are more than 3 dimensions (special sudokus). In a traditional sudoku there are 3 dimensions (a cell is part of a horizontal cellgroup, a vertical cellgroup and a 3x3 cellgroup). A 4-dimensional sudoku would for example be a jigsaw sudoku on top of a traditional one.