1/15/2024 0 Comments Solving sudoku triplets![]() Therefore these numbers may be removed from the other cells in column 5. In Column 5, the four yellow highlighted cells, contain only the four options 3, 4, 6, and 9. Therefore the 1, 3, 4, and 9 can be removed from the other cells in row 4 (again, the other unsolved cells in row 4 form a hidden triplet 2, 5, 6).Įxample 8 is another obvious quad. In Row 4, you find that four yellow highlighted cells, which contain only the four options, 1, 3, 4 and 9. Therefore the 1 can be eliminated from cell C1R4.)Įxample 7 is another obvious quad. C1R4, C1R6 and C3R6 are the only three cells, which contain the three numbers, 2, 4 and 8. The cells in box 4, which are not highlighted, are actually a hidden triplet. (You can also look at this in another way. Therefore the 1 can be eliminated from C1R4. In Box 4, the four yellow highlighted cells, exclusively contain the four options, 1, 3, 5 and 6. QUADS … Example 6 below, is an example of an obvious quad. To detect triplets, search each row, then each column, and then each box. Triplets can exist in Rows, Columns, and Boxes. Now your grid should look like this Example 5b below. You may note that the three options, 4, 5 and 7, are contained in only the three yellow highlighted cells, in row 7, and therefore the other options in those three (yellow highlighted) cells, may be eliminated. You can remove the 1, 2 and 5, from the other cells in column 1.Įxample 5a below, is an example of a hidden triplet, which is much more difficult to detect than an obvious triplet. Can you find it?Įxample 4 below has another obvious triplet, with the three cells highlighted in yellow. You may now remove the 2 and 5 from C1R2, the 2 from C1R5, and the 2 from C1R8.Įxample 3 has another obvious triplet. Therefore, just like pairs, this “triplet” has a monopoly, in column 1, for the numbers 2, 5 and 9, and these numbers cannot exist, in column 1, for any other unsolved cells. In Example 3, you find that the three yellow highlighted cells, in column 1, contain the three options 2, 5 and 9. ![]() TRIPLET … Example 3 below, is an example of an obvious triplet. To detect pairs, search each row, then column, and then box. ![]() Pairs can exist in Rows, Columns, and Boxes. Therefore the 5 and 9 in C7R6 can be removed as options. Notice that the two green highlighted cells in row 6, are the only two cells in row 6, which have 1 and 6 as options. Now your grid should look like Example 2b below. Therefore all other options for those two cells can be eliminated. The two yellow highlighted cells are the only cells, in column 3, which contain the two options 1 and 6. ![]() Therefore, all other options for those two cells can be eliminated and your grid looks like example 1b below.Įxample 1b has another hidden pair can you find it? See “ANSWERS” near the end of this articleĮxample 2a below shows another hidden pair. C2R1 and C3R1 are the only two cells in row 1, which contain the two options, 3 and 4. Row 1 actually has another pair, highlighted in green this is called a hidden pair. Therefore, with regard to row 1, a 1 or 2 cannot exist in any other cells in row one, therefore cell C8R1 (column 8, row 1) = 5. The pair is easily identified, in that there are two cells in row 1, which have the same two options, and no other options. We will call this an obvious pair what does that mean? In Example 1a you find two cells in row 1 (highlighted in yellow), which have two options: 1 and 2. PAIRS … To explain this technique it is best to look at actual examples: Example 1a Finding Pairs, Triplets and Quads is like a game, within a game, and the challenge can be fun! This article explains Step 1, which involves identifying Pairs, Triplets and Quads, to reduce the number of options in the unsolved cells.
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