You are allowed only to look for Naked Pairs and tick candidates off. Simply put, if Any two numbers occur only twice in just two cells in any one unit then all the other candidates can be removed from those cells. Pairs are a set of Sudoku strategies for beginners that help to reduce the number of candidates in cells, rather than finding a solution. This video shows how to tackle this daunting task with the aid of this spec. 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. Sudoku strategies explained with graphics. Sudoku strategies explained with graphics. Hi Everyone, I am Rishi Puri, one of the first . That will thus be its final position. End of Lesson. Pause the video and th. Remote Pairs Example A word of warning though. 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 only thing that changes is the number of cells and Notes. 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. Sudoku Hidden Pairs Strategy explained Previous Next Hidden Pairs If two candidates can be found in only the same two Cells of a region (Row, Column or Square), then one of these candidates is the solution for one of these Cells and the other candidate is the solution for the other Cell. The orange boxes in the lower right box are the only cells in that box that can contain a 6. Hidden Pairs are similar to the Naked Pairs.They are two cells in the same block, row, or column which have exactly the same pair of two candidates. This method is very easy to solve. Naked, Hidden and Locked Pairs are present in ALL Puzzles, and can quickly lead to Candidate Eliminations. It is essential that the line of attack is supported by a contiguous line of locked pairs. Certainly some removals will reveal new Naked Pairs. Once again, you don't really have to fill in pencil marks for the whole Sudoku. Remote Pairs can be replicated by one or two Simple Color moves. "Hidden pairs" technique works the same way as "Hidden singles". Naked Pair Fiendish Exercise: There are 38 candidates that can be removed from this Sudoku board. Hidden Pair Hidden Triple Hidden Quad Hidden Quad A Hidden Quad occurs when four digits are candidates only in four cells of a house. 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! Certainly some removals will reveal new Naked Pairs. The same reasoning can be used for any columns and any 3x3 boxes. This article describes a particular strategy useful in solving Sudoku puzzles known as "the naked pair". Take a look at the example . A "Forced Digit" means that in a specific cell only one number remains possible. In other words: If r2c7 is 5, r6c1 is 4; if r2c7 is 4, r6c1 is 5 (the cells r2c7 and r6c1 have opposite polarity). Choose columns, rows or boxes that have most of the cells already solved, fill in pencil marks and most likely you will be able to use on of the methods to get on with your puzzle. A Hidden Pair is basically just a "buried" Naked Pair. 7.1 : 1 and 5 occur in only two cells in Box 2 but they are hidden by the 3 and 8 in C4 and the 1/3/7 in C6. Hidden Pair If there are two cells in a house (row, column, box) where there are two candidates that appear nowhere outside these cells in the same house - those candidates must be placed in the two cells. Hidden Pairs. Sudoku - Hidden Triplets & Quads Hidden Triplets & Quads 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 Pairs/Triples 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. 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. You might want to get a blank grid and fill in the numbers so you can follow along. HIDDEN PAIR In a hidden pair, two numbers are candidates for two different cells in a row, column, or block, and in no other cells in that row, column, or block, even if the two cells in question have other possible candidates. Four numbers [3/4/5/7] on four cells are hidden by just two 6s in column 7. The discussions will be based on the Sudoku shown in Figure 1, and which can also be downloaded here . If you can find two cells within a row, column, or 3x3 block where two Notes appear nowhere outside these cells, these two Notes must be placed in the two cells. The best way to learn is to do it along with me. Use them. The best way to learn is to do it along with me. Sudoku Solving Techniques Hidden Pairs Hidden Pairs are real work horses for removing candidates and they are the basis for more advanced strategies as well. This time, however, the pair is not "Naked" - it is buried (or hidden) among other pencil marks. "Hidden Pairs" Sudoku technique explanation: "Hidden pairs" happens when a pair of numbers appears in exactly two cells in a house (a house is a row, column, or a block), but those two numbers aren't the only ones in their cell. (This technique is also referred to as looking for naked or hidden pairs, triples, and quads .) It occurs when two pencil marks appear in exactly two cells within the same house (row, column, or block). The other possible candidates can then be eliminated from those cells, since those two numbers have to be in those cells Three Hidden Pairs : Load Example or : From the Start This is a more interesting and complex set of Hidden Pairs. Grid Analysis examples Other advanced techniques are required to solve more difficult Sudoku puzzles such as this one. There are two types of intersection removal: pointing pairs and box/line reduction. Naked pairs. They are called "hidden" because there are other candidates in the same squares as the pairs, triples, and quads. It gets its name from the concept that the pair or triple that you have found points the rest of the way eliminating that number in other places. . Fig. Hence all other candidates can be deleted from these three Cells. Sudoku - Hidden Pairs Hidden Pairs A Hidden Pair is basically just a "buried" Naked Pair. Intersection removal is a strategy where you can eliminiate one candidate from a cell or cells. Hidden Pair/Triplet/Quad. to only a small group of cells. Hidden pairs can be found using pencil marks. 5. A place where you learn to solve sudokus and videos detailing how to approach different variations of Sudoku. The difference between Naked Pairs and Hidden Pairs is that the Naked Pairs is a pair of two candidates with no other candidates in the specified two cells, while in case of Hidden Pairs the cells have some additional candidates. Take a look at column C5. For example: The picture below shows a block with many unsolved cells. Hence all other candidates can be deleted from these three Cells. Similarly in the centre box we have two occurrences of the pair 3/9. Those numbers can go. Use them. 4.3 Sudoku strategies explained with graphics. If two candidates can be found in only the same two Cells of a region (Row, Column or Square), then one of these candidates is the solution for one of these Cells and the other candidate is the solution for the other Cell. The same reasoning can be used for any columns and any 3x3 boxes. Here is the one example of a Hidden Quad I found in a set of 18,000 Sudoku puzzles. Let's look at an example. This applies after eliminating all the other candidates by using different solving techniques. Barely qualifies as 'hidden', but it is legitimate. Naked Pair Fiendish Exercise: There are 38 candidates that can be removed from this Sudoku board. Example In the group highlighted, the numbers 6 and 7 are candidates in only two cells, and they are paired up. They are hidden because they are often mixed with several other candidates, making it harder to find the pairs. Note a new Naked Pair (2/7) is revealed and a solution is available in the corner (J1). Fig. "Hidden Pairs" Sudoku technique explanation: "Hidden pairs" happens when a pair of numbers appears in exactly two cells in a house (a house is a row, column, or a block), but those two numbers aren't the only ones in their cell. In the example below, we see a block with only one cell solved and the rest of the cells . Please look at box #7 highlighted in Sudoku. 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. Hidden pairs and triples are quite a bit trickier to spot - they're hiding after all! 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. Example on the left: If r2c7 is 5, r3c1 must be 5 as well and r2c2 and r6c1 must be 4 or vice versa. Naked pairs are the most simple and easy ones to spot. This page will deal with the first of those two. Click in the Hidden Pair squares. You might want to get a blank grid and fill in the numbers so you can follow along. Fig. It occurs when two pencil marks appear in exactly two cells within the same house (row, column, or block). Pause the video and th. They are called "hidden" because there are other candidates in the same squares as the pairs, triples, and quads. Sudoku Hidden Pairs Practice. Contents Hidden Pair In the example on the right we have four pairs of 3/4 at A,B,C and D.However, while AB is connected and so is CD, there is no connection between the two groups.Therefore the elimination of the 3/4s on Z and X are not legal or logical. You are allowed only to look for Naked Pairs and tick candidates off. The basic rule of this game is that each column, row, and box must contain all digits from 1 to 9 and each of the digits can appear just once. Note how none of the cells need to have all four numbers, as long as only four cells contain all four numbers and are intermingled. Subset elimination along with cross-hatch scanning and block range checking can generally take care of "moderately difficult" puzzles. Thus it's called a "Forced Digit". This technique is also known as Hidden Subset or Unique Subset, in general. Three occur simultaneously. Naked Triple/ Triplets. The Naked Pair in Sudoku. The game of Sudoku consists of a grid of nine rows and nine columns subdivided into nine 3x3 subgrids. Hidden Pairs. If three candidates can be found in only the same three Cells of a region (Row, Column or Square), then one of these candidates is the solution for the first of these Cells, a second one is the solution for the second Cell and the last candidate is the solution for the third Cell.. Contents. Hidden Triplets & Quads. The hidden pairs, triples, and quads strategy involves looking for a group of candidates that can only occur in the appropriate number of squares, then eliminating other candidates from those same squares. Note a new Naked Pair (2/7) is revealed and a solution is available in the corner (J1). 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. The hidden pairs, triples, and quads strategy involves looking for a group of candidates that can only occur in the appropriate number of squares, then eliminating other candidates from those same squares. In the blue rectangle, [2,4] form a Pair on D3 and E3, clearing off 3, 5, 6 and 7.The red cells indicate two Hidden Pairs based on [3,7], which form a neat corner of three cells. Hidden Pair/Triplet/Quad. In other words, a forced digit is the last remaining option and this is why we are forced to put it there. Subset Pairs in Sudoku. In the sudoku diagram below, the digits 3, 4, 7 and 8 in the upper right box can only be placed in the R2C7, R2C9, R3C7 and R3C9 cells. Spot the hidden pair in this puzzle: Even harder. Sudoku is one of the most popular games that challenge your mind and helps sharpen it. All other candidates can therefore be eliminated from these two cells. 4.3 Other candidating digits can be eliminated from these cells. If three candidates can be found in only the same three Cells of a region (Row, Column or Square), then one of these candidates is the solution for the first of these Cells, a second one is the solution for the second Cell and the last candidate is the solution for the third Cell.. of 501. The hardest sudoku puzzles can usually be solved by identifying the hidden pairs. This time, however, the pair is not "Naked" - it is buried (or hidden) among other pencil marks. For triples, you'll be looking for three cells, and so on. Removable hints will show as black on gray. There are two separate Hidden Pairs in the top half of this Sudoku, marked in the two different rings. It is a hidden single, because numbers 5 and 9 are also candidates for its cell. This makes a pointing pair that can be used to eliminate the 6s in the same column of the upper box. Contents. Pointing Pairs, Pointing Triples, Intersection Removal Strategy. 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