This technique is known as "naked pair" if two candidates are involved, "naked triplet" if three, or "naked quad" if four. If two cells in the same row, column or block have only the same two candidates, then those candidates can be removed from the candidates of the other cells in that row, column or block. This is because one of the cells must hold one of the candidates, and the other cell must hold the other candidate - so neither can go in any of the other cells. You can see that there are two cells that only have the same two candidates 1 and 7. One of these cells must hold the 1, and the other cell must hold the 7, although we don't know which is which.
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Solving Sudoku - Naked Pair, Triplet, Quad (Naked Subset, Disjoint Subset)
SadMan Software: Solving Sudoku using Naked Pair, Triplet, Quad
In sudoku, you will sometimes reach a point where you can't solve a square, but you can narrow down the possible numbers in that square, sometimes referred to as candidates. In some cases, you can make logical conclusions from those candidates that will help you solve the rest of the puzzle. In sudoku, a naked pair is a set of exactly two candidates that are in exactly two squares in a row, column, or block. For example:.
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In a Sudoku puzzle, if two cells in the same row have exactly the same two digits as possibilities, then such two digits must be in either one of these two cells and cannot be candidates in any other cells of that row. The same reasoning can be used for any columns and any 3x3 boxes. The technique is called naked pair. This technique can be applied to more than two digits. It is called naked triplet if three digits are involved and naked quad if four.
Naked Subsets are similar to Hidden Subsets, the only difference is that it is not about candidates being confined to cells as in Hidden Subsets , but about cells containing only a certain number of candidates. If you can find two cells, both in the same house, that have only the same two candidates left, you can eliminate that two candidates from all other cells in that house. Left example: cells r8c3 and r8c4 are both in the same house row 8 and have both only candidates 3 and 9 left. It follows immediately that on of the cells has to be 3 and the other 9 which is which is yet unknown.
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