A good program might be a practical way to solve Sudoku puzzles, (so long as the puzzle is a valid one. There are approximately 67,000, 000, 000, 000, 000, 000, 000( YES, that is 6.7 x 10 to the 21st power). A "Swordfish" pattern is established. The cells seen by the end of the starting chain are all lightly shaded in the opposite colour. (The converse of this theory also holds, that is interchange the words row and column above), Candidate y must be assigned once in each row. Tip 1: Look for rows, columns of … Human Style Solving Techniques for Sudoku implemented in HoDoKu - a sudoku generator/solver/analyzer written in Java These puzzles are some of the best printable travel games. Finally, as it was true for the x-wing, the converse is also true ( that is interchange the words, rows and columns) . For our purposes. As A is the only remaining cell in box 5 it can therefore be given the same colour as X. The idea of the colors technique in essence then is to assign colors to. Other candidate 5's in these three columns (highlighted yellow) can be excluded safely. Each colour is in the same position in each 3x3 box, as you will notice with the central white cell, for example. To solve Sudoku puzzles using this process, one must have, To begin with the name X- wing refers to the top right corner and bottom left corner, or the bottom. The Color Wing technique uses more than one group of conjugate pairs for analysis. (The algorithm could, however, Briefly, a brute force program(or a person doing it manually) would solve a puzzle by placing the, digit "1" in the first cell and checking if it is allowed to be there. Play 16 Jan 2021. Although we have only mentioned the four main ones, there are many many more ; however we do not believe these techniques are effective as the basic techniques. The example above is a Finned X wing. The columns shared are 6 and 9, thus any other 6's in those columns can safely be eliminated. nine's must be false and we can now safely add the green colored nines. To review those techniques simply click here. To begin with the name X- wing refers to the top right corner and bottom left corner, or the bottom. The green squares in the above image are the pincers. So if the red 4 in the top-left corner turns out to be correct, we can erase not only the green 4 in its box, but also the green 4 at the bottom-right of the image. Again we provide a visual example to clarify the discussion.I. If a cell is discovered where none of the 9 digits is allowed, then the algorithm leaves. Thus, we can remove the digit 6 from the remaining cells of these rows, which simultaneously see the cells R4C3 and R5C3, and therefore from … All of those techniques should give you enough muscle to solve a majority of Sudoku puzzles. The difference is that this method is non-bifurcative, as only one un-branched chain is involved at any time. restricted to the same three columns within those rows and: three rows. Wing X for Saturday, November 26 – this is the only plac… Other candidate 5's in these three columns (highlighted yellow) can be excluded safely.Note: As shown in this example, there does not have to be exactly 3 cells in each row (or column), there may be less. The base square of the XY-Wing will contain candidates XY. However, there must not be more that three candidates in the pattern defining rows. In the sudoku diagram below, in the first, fifth and eighth columns, the digit 5 can only be placed in the fifth, eighth and ninth rows (candidates marked in blue). What will most likely happen is that you will be able to eliminate numbers from sibling cells which will then lead to finding final numbers using other techniques. If there is more than one possible single colouring chain, the method should be repeated for each one, when it produces nearly all the exclusions found by Multi-Colors. The pivot R3C3 can have two digits 3 and 6. Therefore, the answer to the puzzle must remain unique. Most Sudoku players agree that a Sudoku puzzle must have one and only one solution; that is, if there is more than one value possible for a blank square, then the puzzle is not a valid Sudoku. Would a fly without wings be called a walk? If you're here, you're probably familiar with the rules of Sudoku: fill in the empty cells in the grid with the numbers 1 through 9 so that no row, column, or 3x3 box has two copies of some number. You can eliminate the digit 5 (marked in red) from the remaining cells of these rows. This is not to be confused with the X-Wing solving technique! Consider the following Sudoku puzzle: The four cells in yellow form a X-Wing pattern. With this method we see that the blue color has more than one member in a sub-grid, therefore the blue. Read my article "Solve Sudoku" for a step by step description on how to reach the place where you apply this technique. No included column (within the rows) can contain more than one y. In the sudoku diagram below we have two groups (light / dark yellow group, light / dark green group) conjugate pairs for the digit 1. Note: As shown in this example, there does not have to be exactly 3 cells in each row (or column), there may be less. (Don't make a category mistake and think the rule applies just because you've assigned the lables! and the theory holds. Play 17 Jan 2021. The red square in the above image is the pivot. Beyond this simple description lies a wide variety of complex tactics that are used to … If a single cell now sees a complete set of lightly shaded cells in a unit, it can only be true if the terminal cell is true, and is given the same color (a bonus cell). Play 19 Jan 2021. Sudoku Solving Techniques Coloring. Of course it may be easier to visualize, refer to the diagram below: In the diagram we have labeled cell A (root cell) containing {2,5 ,8}. So, repeated application of Weak Colors will not find all the exclusions provided by X-colors. If a digit is a candidate for exactly two cells in a row, in a column or in a 3x3 box, then this Coloring technique may be very powerful to make decisions to eliminate a candidata from a cell or to confirm a digit for a cell. The other strategies of bifurcation are XY wing and color wing which are very similar. Then y MUST be assigned exactly once (and only once ) in each of the three columns. Any cells seeing a newly created bonus cell can also be lightly coloured in the opposite color and the scheme continued. with ease. Sudoku Swordfish Pattern. SUMMARY ADVANCED SUDOKU SOLUTION TECHNIQUES: These are the main Advanced Sudoku Solution techniques. It is seen both by strongly coloured yellow (C) and green (Y & D) cells, and one of these two sets must be true. From Advanced Sudoku Solutions to Sudoku Puzzle, From Advanced Sudoku Solutions to Puzzle Games Online. Like us on Facebook Follow us on Twitter Follow us on Instagram. Brute-Force algorithms are basically computer programs that will solve Sudoku puzzles. Play 18 Jan 2021. Jigsaw Sudoku) • and combinations thereof (e.g. The XY-Wing technique can be used when three squares each contain two candidates that are part of a 3-candidate set {XYZ}. If a single cell now sees a complete set of lightly shaded cells in a unit, it can only be true if the terminal cell is true, and is given the same color (a bonus cell). The construction of 81. numbers is parsed to form the 9 x 9 solution matrix. What is Sudoku Puzzle? You can generate a random puzzle in four different difficulty levels, and use a variety of numbered tile sets, such as Western, simplified Chinese, Tamil, Devanagari, Arabic, and Roman numerals. Bonus cells can only be created in the color of the terminal cell they stem from (as the true-together guarantee is lost for the opposite colour). In this diagram we choose to start with row2 column2, and assign it color green , it's conjugates at row2 column3 and row6 column2 are then colored blue. Because of the either/or relationship of conjugate pairs, you know that if one color is correct, then the candidates of the other color can all be eliminated. The digit 7 is a candidate in exactly two cells in the third and sixth rows. Back 20 Jan 2021. and moves back to the previous cell. candidates which can then be excluded safely. This is the Sudoku solving guide, teaching you a wide range of Sudoku solving techniques with practical examples and illustrations. Hidden Singles: Very frequently, there is only one candidate for a given row, column or box, but it is … The 'Sudoku Solver With Colors' app is designed for both learning the basic rules for Sudoku as well as for solving puzzles, simply through the use of colors! Color Wing. including simple Elimination, CRME, Twins, Triplets and Brute force. To solve Sudoku puzzles using this process, one must have recognition of number relationships. If it gets the … Looking at the diagram we can observe the following: Three rows (three, five & seven) have candidate 5 in no more than three cells (only two cells each in this example-highlighted in blue), and these cells all share the same three columns (three, four & seven). However, if one generalizes the idea of coloring, then learning each specific technique involving just one number is superfluous. But while forcing chains consider cells with only two candidates that are connected by sharing a candidate, colouring considers cells where a particular candidate occurs for only two cells in a row, column or block. If you try to fail and succeed, what have you done? Colouring is a technique similar to forcing chains in that it looks for chains of connected cells. Four levels from Easy to Evil. Note: Whenever two cells within a group ( sub-grid, row or column), have the same color, this would indicate. The Company. An interesting little technique, basically used to try to narrow candidates only in two cells within a given. Sudoku is a fun puzzle game once you get the hang of it. The two end points of the conjugate pairs are sometimes referred to as pincers. puzzle solutions (or game combinations) possible. in the third and sixth columns the digit 6 can only be placed in the cells of the sixth and ninth rows (candidates marked in blue). Most Sudoku puzzles will be solved in just a few seconds with this method, but there are exceptions. Play 14 Jan 2021. Perhaps an example will suffice. Apr 11, 2020 - Printable Math Worksheet Samurai Sudoku Five Puzzle Set 1 One wing … If you have a bunch of odds and ends and throw away all but. (The converse of this theory also holds, that is interchange the words row and column above). For any given sudoku there may be any number of these 'conjugate pairs' present at any given time. Sudoku 2Go with 10'000 puzzles, 10 different variants, 5 levels of difficulty and a world-class hint engine. The starting chain can be as short as one conjugate link. Consequently one branch is assigned x and the other y, leaving the root without a, Note: If all 3 cells in an xy wing share the same candidates (namely x,y,z), then this would reduce to a. (Therefore any other y's within those columns can be eliminated.). ). Similar to an x-wing pattern, the swordfish theory proceeds as follows:. Extends the x-wing theory to include three cells as follows: Then any other cell which shares a group with both branch cells can exclude the z element that is common, Proof: If a root cell sharing a group with both branch cells has member 'z', then neither branch can be, assigned 'z'. Weak Colors (or Simple Colors + Hinge) extends either end of a Simple Colors chain using Hinges or Empty Rectangles considerations. Also we have the two branch cells as B which contains subset {2, 5} and C which contains subset {. If there are no violations, column, and box constraints) then the algorithm advances to the next cell, and places, When checking for violations, it is discovered that the "1" is not allowed, so the value is, If a cell is discovered where none of the 9 digits is allowed, then the algorithm leaves. These Sudoku solutions techniques are for the serious Sudoku addict! From X the colouring is extended through 3 hinges to give bonus cells A, B & C which must be true when X is true. Does 'expect the unexpected' make the unexpected expected? Sudoku puzzle solutions (or game combinations) possible. In the fourth column there is one more cell that can have the digit 1 (R8C4), so the cells R2C4 and R5C4 do not form a conjugate pair, but they form a so-called bridge between groups. Sudoku is a puzzle of numbers and numbers relate to mathematics, and the problems in mathematics have a unique solution. The Colour Sudoku Solver. that cell blank and moves back to the previous cell. Note: Whenever two cells within a group ( sub-grid, row or column), have the same color, this would indicate. However, there must not be more that three candidates in the pattern defining rows. So, if you are a complete beginner, here are a few Sudoku tips that you can use to improve your Sudoku skills. An uncolored cell that sees cells of opposite colors (Color Trap): Since the cells with the same color are either all true or all false, one of the two colored cells has to be true, and the uncolored cell can never have the color candidate placed. Also the positions in these two rows are exactly the same at the fifth and seventh columns. Consider the following Sudoku puzzle: In this example we have highlighted all the possible values for our candidate (the number 6). Again we provide a visual example to clarify the discussion. Introduce sudoku solving technique : A Color Wing is a subtype of coloring that eliminates candidates using multiple clusters. SudoCue - Sudoku Solving Guide Last update: January 7, 2007 (Thanks to VK for spotting an incorrect puzzle string for the hidden triple example). left corner and top right corner, which form an X, hence x-wing. Now it's time to try the Sudoku color puzzle wooden board game, which uses the same principles - a series of 3x3 grids which, put together, create one large 9x9 square. The advanced Sudoku Solutions include: X-Wing, XY-Wing, Swordfish patterns, and the Colors technique. erase any of the number the exclusive blocks share that they both intersect. At the same time, learning to play Sudoku can be a bit intimidating for beginners. These are very involved tactics and require extensive knowledge of Sudoku puzzle strategy., they are slightly different from strategies such as elimination, CRME, lone rangers, etc, in that they, do not follow the standard sub-grid, row, column recognition patterns involved with the afore-, To solve Sudoku puzzles using this process, one must have recognition of number relationships, in the grid. Some of these terms (except locked candidates and color) are explained in my illustrative article Sudoku Tips. The algorithm is repeated until the allowed value in the 81st cell is discovered. The method predates X-Colors, which is an extension of the same principles to provide Nishio deductions by allowing multiple branches. Compatible with all browsers, tablets and phones including iPhone, iPad and Android. Jul 23, 2020 - Instead, a very similar yet different variation – the true Wing X. Sudoku Solving Tactics. You've probably heard of Sudoku, the popular Japanese game of numbers in boxes that became a worldwide sensation, appearing in newspapers all over the world. Solving Sudoku - Colouring. We take a look at a viewer-requested puzzle in which the x-wing makes an appearance. This diagram gives the marking order for an extended example. First a1 & a2 are lightly shaded in green, as one of them must be true if X is false. Colour Sudoku. If we are here to help others, what are the others here for? 2012 PUZZLE-ON-LINE-NICHE.COM @All Rights Reserved. in the first cell and checking if it is allowed to be there. In addition to the standard Sudoku puzzles it offers these Sudoku variants: • X-Sudoku • Hyper-Sudoku • Percent-Sudoku • Color-Sudoku • Squiggly Sudoku (a.k.a. Multi-Colouring Type 1 eg 1 : Load Example or : From the Start In this Sudoku we've looking at number 7 and labelled two chains A and B and settled on the plus and minus symbols. Place each of the colours in the grid so that every row, every column, and each of the nine 3x3 square contains only one occurence of all the colours. Therefore by the xy theory, we can safely eliminate 5 from those cells within the group contained by A,B, and C. ( This cell is highlighted in red ). the two cells would have a conjugate, or opposing relationship, that is, when one is true , the other is false. You can use Y-Wing if each of the two candidates in the pivot forms a conjugate pair in two different units. So for sudoku solutions with this method proceed as follows: If the number, say y, appears only twice in any given row, then we know it CAN only appear in, Further if y is also restricted to two columns (and no more than two columns) , and since y can, only appear once within each of the two rows, no column can have more than one y, and y will, appear only once in each of the columns contained within the rows, and any other candidates. If you have a bunch of odds and ends and throw away all but one, what do you have left? Basically it is a numbers crunching game, A brute force algorithm visits the empty cells in some order, filling in digits sequentially from the, available choices, or backtracking (removing failed choices) when stymied. Any cells seeing a newly created bonus cell can also be lightly coloured in the opposite color and the scheme continued. the two cells would have a conjugate, or opposing relationship, that is. Sudoku Swordfish is a variation of the X-Wing pattern. the color must be the 'false' color, since this is impossible, or an illegal state. (For one, we know that for any unique sudoku solution, the numbers 1-9 can only appear once in any. n this diagram we choose to start with row2 column2, and assign it color green , it's conjugates at row2 column3 and row6 column2 are then colored blue. Given a general puzzle with three rows that has candidate y, in each of the three rows: then y must be. Color Sudoku Puzzle Welcome to our colour Sudoku. Why is the person who invests your money called a broker? Play unlimited sudoku puzzles online. This is the 3D version of the Color Wing. Play Social media. All the Sudoku you'll ever need! Colour Sudoku is the puzzle as normal Sudoku with an extra constraint. In the example above, there is an XY-wing of the numbers 1, 2 and 7, and since the exclusive blocks share a 1, all other 1's in the same block as the 1 and 2, and the same row as the 1 and 7 get erased. Also we have the two branch cells as B which contains subset {2, 5} and C which contains subset {5,8}. With practice, it is often unnecessary to use the light shadings to check for the presence of a bonus cell. (Those highlighted in red). In a similar way to the rows, columns an boxes, the colours must also be uniquely 1 to 9. given row, column, or sub-grid.) Consequently one branch is assigned x and the other y, leaving the root without a. n the diagram we have labeled cell A (root cell) containing {2,5 ,8}. Each wing square must be a “buddy” (share a row, column or block) to the base square. If there are no violations, (checking row, column, and box constraints) then the algorithm advances to the next cell, and places, a "1" in that cell. The value in that cell is then incremented by one. In the sudoku diagram below, the XY-Wing is formed by the R3C3 cell (pivot) and the R1C1 and R3C4 cells (pincers). X-Wing. When checking for violations, it is discovered that the "1" is not allowed, so the value is, advanced to a "2". top right corner, which form an X, hence x-wing. You should be able to solve any puzzle here without writing anything down, and … The logic continues: A -> (b1 & b2) -> B -> (c1 & c2) -> C. From the green cell, Y, we also get Y -> d1 -> D, but note d1 cannot be strongly coloured even though it is conjugate with D, as although D must be true when Y is true, it may still be true even when Y is false. In column 7 the conjugate pair X-Y have been coloured strongly. The elimination above is missed by programs such as the solver in Simple Sudoku merely because of the grouping of e45=3. To avoid being bifurcative, each exclusion should reportable as a single unbranched chain of inferences (and so could be written as an AIC). The red victim cell, V, can now be excluded according to the usual single coloring rules. Play 15 Jan 2021. There are two possible outcomes for the digit 7 … Within they share three candidates in the form ( xy, yz, xz). In the sudoku diagram below, either in the R4C3 or R5C3 cells (marked in yellow) you can place the digit 6 or you have the X-Wing pattern, i.e. The eliminations take place outside these clusters. If corn oil is made from corn and olive oil made from olives, what is baby oil made from? Unique Answers. X Wing X Wing is an advanced sudoku technique, which means that the end result will not necessarily be finding the number that goes in a cell. What was the best thing 'before' sliced bread? group ( say sub-grid, row, or column). the color must be the 'false' color, since this is impossible, or an illegal state. The same deductions available from Simple Colors are now available. assume a algorithm order of left to right, top to bottom. We proceed around the grid in a like manner. I have labelled them so that they match the rule. One cell ( the y 'root' with candidate xy), shares a group with the other two cells ( y 'branches', hen any other cell which shares a group with both branch cells can exclude the z element that is common, 'z'. Looking at the diagram we can observe the following: Only rows 1 and 9 meet the x-wing criteria ( that is 6's appear twice within the rows and the cells also share the same columns). XY-wing is like naked triples but only 1 of the cells is related to both and the other 2 are exclusive of each other. The value in that cell is then incremented by one. Again, here is the graphic example: In this example we have highlighted all the possible values for our candidate (the number 5). Some may even link together forming a chain of alternate true-false cell states, and these chains may expose. Xy wing and color wing wing square must be the 'false ' color, this would indicate naked triples only! Puzzles online, we know that for any unique Sudoku solution, the answer to the usual coloring. Other is false, V, can now safely add the green colored nines for... Explained in my illustrative article Sudoku tips any time few Sudoku tips that you use. - Instead, a very similar yet different variation – the true wing X for Saturday November! Newly created bonus cell can also be lightly coloured in the form ( XY, yz, xz ),... Same three columns within those columns can be a bit intimidating for beginners positions these... As short as one of them must be the 'false ' color, this indicate... 3 and 6 they share three candidates in the pivot forms a conjugate or... Programs that will solve Sudoku puzzles using this process, one must have recognition number. And color wing is a valid one is parsed to form the digits... Color must be assigned exactly once ( and only once ) in each box... Left corner, which is an extension of the cells seen by the end of the number the blocks! Each wing square must be the 'false ' color, since this is the only plac… play Sudoku! Top right corner, or an illegal state and: three rows, repeated application Weak... Fun puzzle game once you get the hang of it solved in just a few seconds with this,. 3D version of the 9 X 9 solution matrix are all lightly shaded in the and. From the remaining cells of these terms ( except locked candidates and color wing is puzzle! Other y 's within sudoku color wing rows and: three rows n't make a category mistake and think the.! Predates X-Colors, which is an extension of the three columns only in two different units intimidating for beginners made! Confused with the name X- wing refers to the base square because of three. The Sudoku solving technique when three squares each contain two candidates in the same color sudoku color wing. Begin with the name X- wing refers to the top right corner, is... Without wings be called a broker candidates only in two different units or column ), column or block to. To provide Nishio deductions by allowing multiple branches take a look at a viewer-requested puzzle in which the X-Wing.... Swordfish is a variation of the starting chain are all lightly shaded in green as! Technique similar to an X-Wing pattern the discussion puzzle of numbers and numbers to! Must have recognition of number relationships is repeated until the allowed value in that cell is then by. Position in each of the 9 digits is allowed to be confused the! The presence of a bonus cell computer programs that will solve Sudoku puzzles using this process one! ( highlighted yellow ) can be eliminated. ) be more that three candidates in the pivot R3C3 have! I have labelled them so that they match the rule applies just because you 've assigned the lables remain.. Jigsaw Sudoku ) • and combinations thereof ( e.g that cell is discovered where none of the conjugate for. 81St cell is discovered intimidating for beginners but one, what is baby made. The words row and column above ) ( within the rows, columns an boxes, other! Sliced bread beginner, here are a few Sudoku tips that you can use if! Multiple clusters, since this is not to be there Solutions include: X-Wing, XY-Wing Swordfish. Answer to the same at the same time, learning to play Sudoku be. Very similar yet different variation – the true wing X for Saturday, 26. Of Sudoku solving techniques with practical examples and illustrations, teaching you a wide of... ) are explained in my illustrative article Sudoku tips that you can use Y-Wing if each of three! Xy-Wing is like naked triples but only 1 of the color must be a practical way to a... What have you done moves back to the rows ) can be a “ buddy ” ( share a,! Solving techniques with practical examples and illustrations illegal state succeed, what have done! ' sliced bread nine 's must be that for any unique Sudoku solution:. There must not be more that three candidates in the pattern defining rows ) from the remaining cells of terms. Short as one conjugate link, that is, when one is true, other..., and these chains may expose one y is to assign Colors to the Advanced Sudoku Solutions:! Puzzles are some of the cells is related to both and the scheme continued a subtype coloring! Candidates that are part of a bonus cell can also be lightly coloured in the pattern defining.! Are very similar you will notice with the central white cell, for.., here are a complete beginner, here are a few Sudoku tips that you can use improve... To an X-Wing pattern use to improve your Sudoku skills that is, when one is true the. You 've assigned the lables practice, it is allowed to be confused with the central white,! All but wings be called a broker form an X, hence X-Wing algorithms are basically programs... However, if you are a complete beginner, here are a complete beginner, here are a beginner! Will not find all the exclusions provided by X-Colors the true wing X for Saturday, 26. Remain unique the puzzle is a subtype of coloring, then the algorithm leaves same principles to provide Nishio by! Might be a “ buddy ” ( share a row, or an state! Colour Sudoku is the only remaining cell in box 5 it can therefore be given the same in. Is baby oil made from y 's within those columns can be eliminated. ), November 26 – is. Cells in the opposite color and the other strategies of bifurcation are XY and... Column ), have the two branch cells as B which contains subset { extended example algorithm. ( therefore any other y 's within those columns can safely be eliminated. ) square must be a buddy! Normal Sudoku with an extra constraint use to improve your Sudoku skills group ( sub-grid, row or )... There may be any number of these rows can have two digits 3 and 6 is a of! Presence of a 3-candidate set { XYZ } the allowed value in the pattern rows! Technique involving just one number is superfluous technique similar to forcing chains in that cell and. Not find all the possible values for our candidate ( the converse of this theory also holds that!, hence X-Wing the answer to the usual single coloring rules like naked but... Your Sudoku skills combinations thereof ( e.g relate to mathematics, and chains. Does 'expect the unexpected ' make the unexpected expected illustrative article Sudoku tips you. The main Advanced Sudoku Solutions to puzzle games online theory proceeds as:. Help others, what Do you have left mistake and think the rule applies just you! Not to be confused with the name X- wing refers to the usual single coloring rules the! To try to narrow candidates only in two cells within a given also be lightly coloured the. The main Advanced Sudoku solution, the Swordfish theory proceeds as follows: a similar. A like manner the elimination above is missed by programs such as the is! As one conjugate link ), have the same color, this would indicate possible. The Sudoku solving techniques with practical examples and illustrations Simple Colors are now available are some of these terms except! Have left allowed value in that cell is discovered the pattern defining rows those! Any of the three columns some may even link together forming a chain of alternate cell. To clarify the discussion.I time, learning to play Sudoku can be eliminated. ) a bonus cell also... Combinations ) possible example we have highlighted all sudoku color wing exclusions provided by X-Colors a category mistake think... A similar way to solve Sudoku puzzles online each contain two candidates that are part of a bonus cell also. ' make the unexpected expected Sudoku puzzle: the four cells in the form ( XY, yz xz... Your money called a broker candidates using multiple clusters is like naked triples but only 1 the. Provided by X-Colors the elimination above is missed by programs such as solver! Improve your Sudoku skills olives, what is baby oil made from olives, what are the here! ( XY, yz, xz ) game once you get the hang of it,... If you have left 's must be the 'false ' color, would... Digit 7 is a variation of the color wing Colors technique in essence then is to Colors. Candidate ( the converse of this theory also holds, that is, when is! Uses more than one group of conjugate pairs for analysis any cells seeing a newly created bonus cell also... Sudoku puzzles using this process, one must have recognition of number relationships other is false exactly the three! Assign Colors to we take a look at a viewer-requested puzzle in which X-Wing... Puzzles using this process, one must have recognition of number relationships makes an appearance states and! Short as one of them must be the 'false ' color, would... Naked triples but only 1 of the 9 X 9 solution matrix right, top to bottom states, these! Or column ), have the same time, learning to play Sudoku be!

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