Hidden Triplets & Quads. However, two of them are coupled with a naked single (r1c3), so they're more or less degenerate. As for the naked triplet and quad (3.1.2)) the cells need not contain all the numbers of the triplet or quad. As I said, you can probably go your whole life without ever needing this technique. A Triple will consist of three pairs of numbers lying in three cells in the same row, column or box, such as [4,8,9], [4,8,9] and [4,8,9]. Hidden Pairs Just like Naked Pairs but with an extra twist. Not all 3 cells must contain all 3 candidates, but these 3 cells should contain the 3 candidates between them and not more than 3 candidates in each cell. Hidden Pairs, Hidden Triples, Hidden Quads Strategy → Naked Pairs, Naked Triples, Naked Quads Strategy 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. The left example shows a Hidden Triple in block 7: Candidates 2, 4, and 5 appear only in cells r8c2, r9c2, and r9c3 in that block. Thankfully very few puzzles require finding a hidden quad to solve, because they’re particularly tricky to spot, and devilishly hard to work out! Hopefully you’ve got the hang of finding Naked Pairs and Triples – if not, practise looking for those before trying to understand the hidden equivalent! A Hidden Pair is basically just a "buried" Naked Pair. This happens quite often!). Hidden Pairs. Hidden quads are practicaly impossible to spot ! ... No, but you do have three hidden triples in that puzzle state. A Triple will consist of three pairs of numbers lying in three cells in the same unit (row, column or box), Such as 4/8/9, 4/8/9 and 4/8/9 hidden behind other candidates However, Hidden Triples are more interesting and follow a similar idea as Naked Triples. In the Sudoku puzzle below, the green cells have the hidden pair 3 and 5. Fortunately, they are rarely usefull to solve a sudoku. Any three cells in the same unit that contain the same three candidate numbers will be a Naked Triple. In fact, if this is discouraging you at all, feel free to scroll down and click "Next", and you will not be any worse off for it. (The eagle-eyed readers will spot that you could have arrived at the same result by looking for the naked triple {46} {24} {26} – which would result in just the same – removing the 2 as a candidate from the end cell. This technique is also known as Hidden Subset or Unique Subset, in general. These triple pattern problem Samarai Sudoku are a fun test for your sudoku solving strategies, especially if you've grown tred of working basic grids. It is however the only cell in the box which has 3 as a candidate value, therefore the 3 must go in this cell. If you’re looking for hidden pairs, you’re looking for two numbers which only exist in two cells within that area – even though there will be other candidates in the same cell “hiding” them. For triples, you’ll be looking for three cells, and so on. Strategies ... Hidden Triples. This diagram shows a hidden triple in row 7 for digits 2-6-7. For the sake of being complete, there is one more technique I should mention real quick: Hidden Quads. Hidden triples like hidden pairs have additional digits that camouflage the three candidates. Hidden triples and quads are almost impossible to find with the naked eye. 1 can be eliminated from r9c2 and 6 … It's on row 8. Even with the highlight to help you to know where to look, it might still take you a while to pick out the quad! Sudoku Dragon Daily Online Help Introduction Sudoku History Strategy Advanced Theory Guessing Symmetry Variants Guides ‘Hidden Twin’ Sudoku puzzle solving guide Step. In fact it is not necessary for there to be three candidates in each cell. But if you like a good challenge, here it is…. When you get stuck with a puzzle, looking for twins (and triplets) can be a good source of new squares to solve. A Hidden Pair occurs when three digits are candidates only in three cells of a house. Hidden Triples arbeiten gleich wie Hidden Pairs, nur mit drei Zellen und drei Kandidaten. Hidden Singles: Very frequently, there is only one candidate for a given row, column or box, but it is … Now, the cells with Naked Pairs also have other candidates. Hidden triples like naked triples are restricted to three cells in a row, column, or region. How to find them Hidden pairs can be found using pencil marks. 1 kann von r9c2 und 6 von r9c3 gelöscht werden, was … The technique is called hidden pair. Similar to Hidden Pairs & Triplets, a Hidden Quad is when you find four different pencil marks inside only four cells in the same house. If it is subdivided into two or more parts by naked subsets, then the parts of that container disjoint from those naked subsets must be inhabited by hidden subsets.. Alternatively, one can consider the following logic: Hidden Triples. In the example below, we see a block with only one cell solved and the rest of the cells pencil marked with all their possible candidates…. Hidden pairs and triples are quite a bit trickier to spot – they’re hiding after all! Can you find it? This time, however, the pair is not "Naked" - it is buried (or hidden) among other pencil marks. Once again, you don't really have to fill in pencil marks for the whole Sudoku. Hidden Triples work in the same way as Hidden Pairs only with three cells and three candidates. Hidden Triple. Like with naked triples, not all 3 cells need all 3 digits as candidates. Hidden pairs/triples/quads is really just a logical extension of Naked Pairs, Triples and Quads.Consider any large container. A very unusual beast, is the hidden quad, not often seen in captivity. Hidden Triple. A Naked Triple is a Naked Subset of size 3. If a naked subset is present, then so is a hidden one, although it may be longer and so harder to spot. The rule still fits. Hidden triples are the same as hidden pairs only with three cells and three candidates. If you’re looking for hidden pairs, you’re looking for two numbers which only exist in two cells within that area – even though there will be other candidates in the same cell “hiding” them. It occurs when two pencil marks appear in exactly two cells within the same house (row, column, or block). They are circled in red. Also, in this example only 2 cells have additional candidates that can be eliminated. Hidden Triples We can extend Hidden Pairs to Hidden Triples or even Hidden Quads. Using the same notation as before, just looking at the cells which haven’t been fixed yet: To solve these puzzles, work the sudoku grids individually as you would normally, then take the solution in the overlapping squares as part of the other joined puzzles. As you may have guessed, Hidden Triplets work on the same concept as Hidden Pairs: When three given pencil marks appear in only three cells in any given row, column, or block, all other pencil marks may be removed from those cells. Naked subsets and hidden subsets are related - I usually describe them as being opposite sides of the same coin. See that there are actually only two places where 1 and 3 can exist. Naked Pairs are when there are just two candidates being looked for, Naked Triple when there are three, and Naked Quads when there are four. The highlighted cell in the Sudoku below has the following candidate values 1,3,5,6. Hidden Singles: If a candidate occurs once only in a row or column or box we can make it the solution to the cell. You’d see them as two pairs, if one of them wasn’t hidden by sneaking in an extra 2. Hidden Pair. For example, if we have two pairs, eg 3-4 and 3-4 in the same row, column or box, then both 3 and 4 must occupy those squares (in what ever order). Just remember that you’re looking for a group of numbers that are limited to only a small group of cells. The New Sudoku Players' Forum. Hidden … Three numbers; three cells. Sudoku Solving Techniques X-Wing. In fact, it gives us even more information later. However, in just the same manner as Naked Triples, we don't need exactly three pairs of numbers in three cells for the rules to apply Can you find the hidden triples in these lines? Hidden Quads. Hidden Triplets are kind of hard, huh? The "hidden pair" solving technique is an intermediate solving technique. Hidden Pair/Triplet/Quad. Even though you don’t know which is a 1 and which is a 3, you do know that the two isn’t welcome, so you can remove it as a candidate from the end cell! Hidden Triples We can easily extend Hidden Pairs to Hidden Triples or even Hidden Quads. In the following sudoku diagram in the second row, the digits 1, 6 and 7 can only be placed in the R2C5, R2C6 and R2C9 cells. The rest of the unit can be scrubbed clean of any of those numbers. But a Naked Triple is much more versatile than this rule implies. A hidden pair occurs when a pair of numbers appears in exactly two squares in a row, column, or block, but those two numbers aren't the ... Hidden Triple. Das linke Beispiel zeigt ein Hidden Triple in Block 7: Kandidaten 2, 4 und 5 kommen in diesem Block nur noch in Zellen r8c2, r9c2 und r9c3 vor. In the example at the left there is a hidden pair 2 and 9. This technique is known as “Naked Subset” or “Disjoint Subset” in general, and works by looking for candidates that can be removed from other cells. For triples, you’ll be looking for three cells, and so on. The rule stays the same: if a total of three candidates are only seen in exactly three cells within a house (row, column or square), then we know that these three candidates will be in … Other candidating digits can be eliminated from these cells. But as we know that the Naked Pairs must reside in these two cells, we can savely remove the other candidates. Naked Triple. Naked Triple/ Triplets If there are three cells in a house (row, column or box) that have the same 3 candidates, you can eliminate these 3 candidates from all the other cells in that house. The fact of the matter is that 2, 6, & 8, as a "set", only appear in three cells. As you may have guessed, Hidden Triplets work on the same concept as Hidden Pairs: When three given pencil marks appear in only three cells in any given row, column, or block, all other pencil marks may be removed from those cells. Look for the hidden triple for 3, 4 and 7 in this puzzle: You should be able to remove the candidate for 1 from the top cell – but it’s definitely a challenge to spot! Hidden Pairs, Hidden Triples, Hidden Quads Strategy. And if you stopped here, you would still possess the skills to solve 95% of the Sudoku puzzles out there. Test 2 : In this test we check for 'naked' Pairs and Triples . Hidden Triples. In the same way we have extended Naked Pairs to Naked Triples, we can extend Hidden Pairs to Hidden Triples. Hidden triples are much harder to spot. For this reason, I will not go too deeply into them. I'll just give you an example of one and leave it at that. It is quite possible that you will never even see one. In a Sudoku puzzle, if two digits are candidates for the same two cells in the same row and not for any other cells of that row, then such two digits must be in either one of these two cells and other candidates in those two cells can be eliminated. Sudoku strategies explained with graphics. The third one is the real thing (coupled with a naked quad). That's fine. The hidden triplets are very difficult to spot. If you can't, don't be discouraged! You may have noticed that the "8" pencil mark only appears in two of the cells. It is formed by 3 cells that have candidates for only 3 digits and are collocated in the same house. For example: The picture below shows a … They will occur in harder puzzles. {46} {24} {13} {26} {123} The puzzle below contains a "Hidden Quad". Well, the good news is this is the hardest of the "basic" techniques. Hidden Pair. If a digit is a candidate for exactly two cells in two different rows and the positions (columns) of those two cells in those two different rows are exactly the same, then this digit cannot be a candidate for any other rows in the same two positions (columns). The same reasoning can be used for any columns and any 3x3 boxes. I should say, though, that these are extremely rare.