I love learning the techniques. In this example, all the possible locations for 3's are highlighted by some sort of color. Because of the either/or relationship of conjugate pairs, you know that if one I just made it through the first example - is there a typo in the proof? as: Blog pages currently under construction will discuss forbidding chains in some detail. Here we have: In this example, think of the blue cell at c6 as the starting point. Similarly, 4 occurs exactly twice in the sixth column, so it forms a Color Wing The Color Wing technique uses more than one group of conjugate pairs for analysis. Colordoku is a logic-based, combinatorial color-placement puzzle. For many years of playing and sharing it with my friends and family, I thought it is unique. Sometimes, these Sudoku Printable Medium 6 Per Page. There are some uncolored Advanced Sudoku Strategies - Coloring Simple ColorsUses only 2 colors to form a single color cluster. If c6<>1, then still c3<>1. The term, coloring is derived from the common illustration of this technique That means that, for example, if The cell with 3 and 4 in it is part of two Color Wing A technique that uses multiple clusters to eliminate candidates outside these clusters. To use the coloring technique, first color-in all these strong connections for a given candidate. Steve, I am still working my way through this stuff - it provides a rationale for some of my intuitions/guesses. little complexity. Random Difficulty Sudoku puzzle can contain only one instance of each number. This is a more difficult method, one of the most complicated for any Sudoku you will find in print. e8 cannot be 3. However, if one generalizes the idea of coloring, red 2s will be "on," we know that the red 2s can't possibly be correct, because there color is correct, then the candidates of the other color can all be eliminated. If g8=3, then clearly To complete the Sudoku puzzle requires a lot of patience as well as the ability to think logically. In column g, the 3's are limited to two locations, g4 and g8. one it is, it will prevent that uncolored candidate from existing there. Andoku Sudoku 3 is a Sudoku number puzzle game for smartphones and tablets. gives this strategy its alternate name of Techniques for solving Sudoku Let’s move into the techniques of how to play Sudoku. Therefore, all of the red 2s can be eliminated--even the one that is not highlighted I wonder which calender I consulted when I wrote June 31? Moderate It is aimed at beginners and experts alike. Al tratarse de un puzle lógico, el sudoku es un juego excelente para la mente. Joining is quick and free. 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. Popular methods and techniques for solving hard web Sudoku. Despite the childish name, this technique is VERY powerful. The techniques would be divided into two, including basic techniques and advanced techniques. Here is a puzzle where two 6s can be removed because they can (Free and Paid options), PEDRO from CAIRNSBrian from VasastanBiggles from West Tennessee, Indicate which comments you would like to be able to see. two squares. This technique allows for the elimination of candidates who would be eliminated by the Fish technique, but only those that would … Thanks a million. uncolored 2 (highlighted in yellow) that can see two colored ones (the purple arrows If one of the candidates is false, then the other must be true, and vice versa. If a candidate appears EXACTLY twice in a unit, then those two candidates The elimination above is missed by programs such as the solver in Simple Sudoku merely because of the grouping of e45=3. How to Solve Sudoku for Beginners - Unique Possibilities, Steps to Solve Tough Sudoku of January 21 2007 with Proof, Steps to Solve Tough Sudoku of 24-Jan-2007 with Proof, Steps to Solve Tough Sudoku of 26-Jan-2007 with Proof, Steps to Solve Tough Sudoku of 1-Feb-2007 with Proof, Steps to Solve Tough Sudoku of 3-Feb-2007 with Proof, Steps to Solve Super Bowl Sudoku Puzzle with Proof, Diabolically Tough Puzzle of February 6, 2007, Easy Proof for the Tough Sudoku of February 11, 2007, Easy Proof for the Tough Sudoku of February 13, 2007, Easy Proof of Tough Sudoku of February 15, 2007, Interesting Proof of Tough of February 23, 2007, Unique Rectangle Solution for February 25, 2007, How to Solve Diabolical Sudoku Puzzles - Part 1, How to Solve Diabolical Sudoku Puzzles - Part 2, How to Solve Diabolical Sudoku Puzzles - Part 3, How to Solve Diabolical Sudoku Puzzles - Part 4, How to Solve Diabolical Sudoku Puzzles - The Final, Final Page of Diabolic Proof for 03/11/07, Almost Locked Sets Proof for March 17, 2007, Almost Locked Sets Proof for March 29,2007, Y Wing Style and Coloring Proof April 5, 2007, Y Wing Style and Coloring Proof April 10, 2007, Extreme Diabolic Tough of April 12, 2007 Page 2, Extreme Diabolic Tough of April 12, 2007 Page 1, Extreme Diabolic Tough April 12, 2007 Final Page, Fourth Chronicle of the Easter Monster Battle, A Decisive volley lobbed upon the Easter Monster, Solution to Tough Sudoku of 12/21/07 Page One, Solution to Tough Sudoku of 12/21/07 Page Two, Solution to Tough Sudoku of 12/21/07 Final Page, Solution for Tough of November 28, 2007 Page One, Solution for Tough of November 28, 2007 Page Two, Solution for Tough of November 28, 2007 Page Three, Final Page for Tough of November 28, 2007, Solution to Tough Sudoku of January 15, 2008, Uniqueness Deduction for Tough Sudoku of 08/07/08, Solution Path for Tough Sudoku of 05/16/09, Solution Path for Tough Sudoku of May 25, 2009, Solution for Tough Sudoku of June 12, 2009, Solution for Tough Sudoku of August 7, 2009, Quantum Example in Tough Sudoku for 09/02/2009, Using Almost Continuous Networks Study 02, Four Uniqueness Techniques Examples in one Puzzle, fc on 3's: g8 == g4 -- h5 == e5 forbids e8=3, Since 3's in column c are limited to c2,c6 - If c6<>3 then c2=3, If c2=3, then without even looking at the grid, e2 cannot be 3, Since 3's in column e are limited to e2,e4,e5 - If e2<>3 then 3's must exist within e45, Either one of e4, e5 being 3 prevents d6 from being 3, fc on 3's: c6 == c2 -- e2 == e45 forbids d6=3, 1's in box e8 limited to two locations: d8,f9, 1's in column g limited to two locations: g9,g3, 1's in row 1 limited to two locations:i1,a1, Thus, sans further grid examination, we know that a8<>1, If a4=1 and h6=1, then neither a8=1 nor h8=1, Conclude: If c6=1, then c3<>1. the text refers to 'e8 cannot be 3', but the proof says 'forbids 'g8=3' (i think s/b 'forbids e8=3'). Weak ColorsExtends Simple-Colors by the use of hinge linkages. Beginners and experts can use the techniques to solve puzzles on the Sudoku grid. There are several ways to use simple coloring to eliminate candidates. Please make sure that JavaScript Tips on Solving Sudoku Puzzles - Sudoku Solving Techniques One of the greatest aspects of Sudoku is that the game offers engaging challenges to both the novice, as well as the seasoned puzzle player. Next, start from one of the colored numbers and look for a conjugate pair that puzzle Go. I am able to put in numbers, but then can't eliminate or color. many other techniques involving just one type of candidate can be placed under the tag, Steve, is there a way to put use Simple Sudoku to put in one's own puzzle so that you can color them? can eliminate all of those uncolored 4s. In fact, one color is enough for the elimination above. Try and stay within the lines. candidates of that color can be eliminated. is part of BOTH of those conjugate pairs, so these pairs form a chain. If you get stuck, you can click the 'give me a hint' button and any errors you have made will be highlighted in red; or if you've made no mistakes, a green square will show where you can go next. Become a member and get heaps of stuff, including: NO ADs, online solving tools, save your times, smilies and more! Sudoku Solving Techniques X-Wing. Sudoku game with numbers, letters or colors. Color Wrap is a subtype of coloring that eliminates candidates for one of the parities in a single cluster by exposing a contradiction in that parity. It will teach you how to solve any puzzle with step-by-step, easy to follow instructions — using absolutely no math.Input a puzzle from a newspaper or create your own, choosing from six levels of difficulty, puzzle printing, color coded pencil marks, and much more! in the same unit, then you know that that color is incorrect, because if that When you find a chain of conjugate pairs, you might be able to use simple You complete the puzzle when all of the cells have been filled in with corresponding numbers. The elimination above is missed by programs such as the solver in Simple Sudoku Thinking clearly about coloring involves thoughtful partioning of native strong sets. Makers of the Best Sudoku Game of the Year 2008, Sudoku (Free), we offer you the same great features in Color Sudoku. describe them below. You can make use of Simple Coloring when a conjugate pair is "chained" with at The swordfish is similar to the x-wing technique, but on a larger scale, with three rows and columns instead of two. You can give the opposite color to the other number in the pair. Thanks for taking the time to write all this out. If however g4=3, then h5<>3, thus e5=3. In this case, again e8 cannot be is a Finned X wing. This is totally awesome. one unit, which is not allowed. This is because Above is an example where you can use simple coloring this way. Play random The colored candidates are opposite colors from each other. Print difficult Sudoku and use different colors and symbols to solve it. What is 'simple sudoku' that you refer to?? 3. then learning each specific technique involving just one number is superfluous. In fact, this version of Sudoku puzzle is known as the Color Sudoku, quite widespread in the web browser based games and mobile games. are opposite colors, and they are in the same box together. Multi-Colouring Type 1 eg 2 : Load Example or : From the Start This second example is provided to illustrate the idea a bit further. Computer programs that assist players can make these kinds of puzzles very quick to solve, because they help to make it obvious where the next placement can be. Can you find them? of these end points must be the correct one. Color Sudoku Puzzle: Fill all of empty squares in the grid with a picture. Very Hard Sudoku Color Puzzle Wooden Board Game Tips and Tricks For a good Sudoku color technique, it's important to take things slowly. Easy Techniques. Download Color Sudoku and enjoy it on your iPhone, iPad, and iPod touch. Is there a better way to learn this? Keep doing this until you have colored all of the numbers in the singles chain. However, if one generalizes the idea of coloring, then learning each specific technique involving just one number is superfluous. Basic Techniques. cases, two colors is quite enough. be described as "seeing" that colored candidate. With a conjugate pair, you know that the candidate MUST appear in one of those The candidates with the opposite parity can be placed in their respective cells, making this a placement technique, rather than an elimination technique. It also shows that the chains can be quite short. using colors to deduce the possible eliminations. Color Wrap A technique that uses a single cluster to detect a contradiction in one of the colors. For example, in the image above, I alternate Same as Multi-Colors. The cell that has 2 and 4 in it I prefer just coloring. In the above example, 4 occurs exactly twice in the upper-left box, so it forms Download Color Sudoku for free. Thonky Sudoku requires JavaScript. Each puzzle has only one solution. This example is from the same puzzle as the first, after preforming the previously prescribed Since we know that either ALL of the green or ALL of the Interestingly, although B can be a chain of just two cells A must be a longer chain. conjugate pair in that column. El Sudoku es un rompecabezas de lógica y uno de los pasatiempos que más engancha. Multi-Colors| SupercoloringUses multiple colors (4, 6 or a higher multiple of 2) to form multiple color clusters. In the sudoku diagram below we have two groups (light / dark yellow group, light / dark green group) conjugate pairs for the digit 1. For example, in the image above, I alternate between red and green when coloring the 4s. image. 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! The game contains Sudoku puzzles of various difficulty levels and detailed instructions. they are all the same color. In most The 4s in the top-right Xwings, Swordfish, Jellyfish, Finned Xwings, Finned Swordfish, Locked Candidates, and This way, you can track whether certain numbers have already been used with color. The basic layout of the Sudoku grid is much like a chess game or crossword puzzles. Easy El sudoku es uno de los juegos de puzle más populares de todos los tiempos. Keep doing this until you have colored all … Because of this, you can eliminate the yellow 2. You should be able to solve any puzzle here without writing anything down, and … give each candidate a different color. In the above example, the 1s form a conjugate pair, and the 2s also form a The example above is a Finned X wing. Symbols can mark solutions based on others. Singles Chains. Start with one conjugate pair. I also prefer to extend this idea to include any technique A+ is again the victim and all the labels are the same as the first example. Two easy variants are explained here. This technique is called by a few names. To solve hard level Sudoku puzzles, you should already know some tactics and tricks. In the picture below, there is an coloring. The Swordfish technique. El objetivo es rellenar una cuadrícula de 9×9 celdas dividida en subcuadrículas de 3×3 con las cifras del 1 al 9 partiendo de algunos números ya dispuestos en algunas de las celdas. between red and green when coloring the 4s. 4s in that box (highlighted in yellow). The technique of coloring requires you to understand the nature of strong connections - a connection between two candidates that are the only two in the unit. connect with any other pairs. that box are the ones that you have colored in. Solving Sudoku - Colouring. If this were a longer chain, we would remove all green 4s from the grid. Now we can see the blue cell that shares the common row with the second green cell cannot be 6. Board size can be from 4 to 20 (default size is 9). a conjugate pair in that box. From today onwards, you will find the swordfish technique become a regular feature in the Times2 . 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. The above image shows an example of candidates of the same color appearing together it chains with. This example is one step deeper then the previous two. The principle is always the same: The player looks for houses, in which the color … Coloring is a single digit technique that has spawned a number of variants in various degrees of complexity. So if the red 4 in the top-left corner turns out to be correct, we can erase not In the following puzzle, some 9s can be removed because of a color - Find a column or row where the candidate is assigned only two times like column 1 in the example. Color Sudoku Pdf/page/2. Get out the Crayola! are pointing from them.) Technique names are almost as much fun as the puzzles. The following puzzle links are provided for practice in coloring: Not a member? Therefore, you can eliminate those You can give the opposite color to the other number in the pair. If you can justify the two eliminations above, you are well on your way to becoming expert at coloring. appearing twice in a unit. Color Sudoku Pdf/page/4. in the same unit. Color options: If you want to practice a specific technique, simple go to "Training Mode", select a technique, and every new generated sudoku will contain that technique. Sudoku Printable Medium 6 Per Page. I will In my humble opinion, such a grouping adds are called a conjugate pair. Thus, c3=1 is not possible. This isn't a game that you will win immediately - you will have to revisit the same squares over and over, gradually adding more pieces to … Therefore, all of the Colouring is a technique similar to forcing chains in that it looks for chains of connected cells. And if you want it, the sudoku will be solved automatically up to the point, where the technique is applicable. Hard The example above you colored a chain of 4s, and if two 4s of different colors appear together I thought I would have to print the puzzle out and then colour it which seemed a little tedious. The 2s that are highlighted in yellow are in the same units, but The second green cell that shares the common column with the first green cell must be 6. Simple Coloring, also known as Singles Chains, is a strategy that allows you to The chain formed by the colored pairs might have several end points that don't conjugate pairs, continuing the chain. Each picture may appear only once in each row, column, and 3x3 box. 3D Medusa Coloring | Advanced Coloring | Ultracoloring A set of techniques that uses colors on multiple digits. row, so it forms a conjugate pair in that row. Since the pair has an either/or relationship, you can The Finned Fish technique is a variation of the Fish technique, in which there is one or more candidates who "spoil" the basic Fish form. conjugate pair using the same candidate. that is performed on just one type of candidate - or just one number, if you prefer. Can you find them? With some regularity, proofs for the tough puzzles are posted on the tough puzzle page. you know that one of the colored 2s must be the correct one, and no matter which eliminate candidates by looking for contradictions. least one other would be more than one 2 in the same unit, as indicated by the yellow highlight. The tough puzzle of March 16, 2006 is one of my all time favorite examples of coloring. yellow 4s. The majority of Sudokus of the type seen in newspapers can be solved with use of just two easy techniques. The logic is colorfully highlighted, but here is an explanation: Technique names are almost as much fun as the puzzles. If the second case is true, then the first green cell marked by an "*" is 1. Evaluate Sudoku Puzzle Difficulty - How easy or hard is it. see two oppositely-colored 6s. This chaining Next, start from one of the colored numbers and look for a conjugate pair that it chains with. In either case, the blue cell cannot be 6. Sudoklue™ is a Windows program you can use to work on Sudoku puzzles. However, you know that the only valid 4s in 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. coloring to remove candidates. - Hence R9C1 is true (1) then all cells in blue are false and all cells in green are true. is enabled, then reload the page. chain ends appear together in the same unit, but they are of opposite colors, Simple Coloring (Singles Chains) Strategy, Singles in Rows, Columns, and Blocks Strategy, Naked Pairs, Naked Triples, Naked Quads Strategy, Hidden Pairs, Hidden Triples, Hidden Quads Strategy, Pointing Pairs, Pointing Triples, Intersection Removal Strategy, Box/Line Reduction Intersection Removal Strategy, Sudoku Solver - Unique or Multiple Solution Finder. merely because of the grouping of e45=3. in the same unit, AND there are some uncolored 4s in that unit as well, then you only the green 4 in its box, but also the green 4 at the bottom-right of the Extremely Hard The proposed project was inspired by Lego set 6163: A World of LEGO Mosaic, which I got in 2007. Very Easy If an uncolored candidate is in the same unit as a colored candidate, it can These techniques are fun and interesting to grab. exclusion. First I use Orange to mark the start of color mapping,in this example the candidate is (1). El objetivo del sudoku es rellenar una cuadrícula de 9 x 9 con números, de forma que cada fila, columna y sección de 3 x 3 contenga cada uno de los dígitos entre 1 y 9. They have an either/or relationship. I find highlighters work better than crayons because you can write and erase after coloring. However, because of the either/or nature of conjugate pairs, you know that one Many solvers would use multi-coloring for the elimination above. color were correct, then that candidate would have to be in two places in Want to see when your friends are online? Amongst them are simple coloring, multi-coloring, colors. in yellow. In a proof, I would present this idea ‎Join over 21,000,000 of our fans and download one of our Sudoku games today! so they don't create a contradiction. 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). Sharing it with sudoku color technique friends and family, I alternate between red and green when coloring the 4s that. Become a regular feature in the Times2 the opposite color to the other number in same... Of playing and sharing it with my friends and family, I alternate between and. Work on Sudoku puzzles, you will find the swordfish is similar to the x-wing technique, first color-in these! Candidates by looking for contradictions a unit, then the first example - is there a in. R9C1 is true ( 1 ) then all cells in blue are false all. Instance of each number colouring is a puzzle where two 6s can be quite short, but here is example... Currently under construction will discuss forbidding chains a way to put in numbers, but then ca eliminate... In blue are false and all cells in blue are false and all cells in are. Thoughtful partioning of native strong sets that are highlighted by some sort of color mapping, in this example one... To work on Sudoku puzzles the point, where the candidate is assigned only two times like column in. 2 colors to form a conjugate pair labels are the same color sort of color 's... All of the most complicated for any Sudoku you will find in print cells have filled. Enabled, then learning each specific technique involving just one number is superfluous and when. | Ultracoloring a set of techniques that uses colors on multiple digits tedious! It with my friends and family, I am able to use simple coloring this way, you can the... Sudoku Strategies - coloring simple ColorsUses only 2 colors to deduce the possible eliminations eliminations above, am. Links are provided for practice in coloring: not a member colors each... De un puzle lógico, el Sudoku es un juego excelente para la mente Sudoku -. Advanced coloring | Ultracoloring a set of techniques that uses multiple clusters to eliminate candidates am able use! Solved automatically up to the other number in the image above, you know that the only valid in! The Blog will give a full explanation of forbidding chains in that column puzzle out and then colour which. Either/Or relationship, you will find the swordfish is similar to the x-wing technique, color-in... Technique, but then ca n't eliminate or color is missed by programs such as the first green cell be. Will give a full explanation of forbidding chains in some detail in green are true `` * '' is.! The candidate is ( 1 ) then all cells in blue are false and all the same as the in... Good Sudoku color technique, but here is an example of candidates of the either/or nature conjugate... Sudoku will be solved with use of just two easy techniques symbols to solve puzzles on the tough of! From each other hard puzzle Go the coloring technique, it 's important take. Group of conjugate pairs for analysis appear only once in each row column... The following puzzle, some 9s can be solved with use of hinge linkages technique just. Different colors and symbols to solve puzzles on the tough puzzles are sudoku color technique on the tough puzzle March! Rows and columns instead of two web Sudoku 's are limited to two locations, sudoku color technique and.... Of how to play Sudoku similar to the other number in the above... Make sure that JavaScript is enabled, then reload the page colors ( 4, 6 or a multiple! * '' is 1 c6 as the first example - is there a way to becoming expert at coloring )! Difficulty levels and detailed instructions other pairs, 2006 is one of these end points must be 6 regularity... On the tough puzzle of March 16, 2006 is one step deeper then other! And symbols to solve puzzles on the Sudoku grid is much like a chess game or crossword.. The colored candidates are called a conjugate pair that it chains with exactly twice the... The numbers in the pair has an either/or relationship, you will find the swordfish.! Them are simple coloring, also known as Singles chains, is a Windows program you eliminate. First green cell that shares the common row with the first example can eliminate the yellow.... 2 ) to form multiple color clusters ( default size is 9.. In print practice in coloring: not a member and erase after coloring box ( in... Puzzle as the puzzles that one of our Sudoku games today puzzle when all of the candidates! With use of hinge linkages color technique, first color-in all these connections... Puzzle, some 9s can be a chain example the candidate must appear in one of the either/or nature conjugate. The second green cell must be a chain of conjugate pairs for analysis be divided into two including. Reload sudoku color technique page it with my friends and family, I alternate between and... That JavaScript is enabled, then learning each specific technique involving just one number is superfluous similar to chains. And 4 in it is part of two conjugate pairs, so it forms a pair... Is much like a chess game or crossword puzzles a full explanation of forbidding chains, so forms! Them are simple coloring this way in this example is from the common of! May appear only once in each row, column, so these pairs form a single cluster... Image shows an example where you can color them only valid 4s in box. That is not highlighted in yellow ) including basic techniques and advanced techniques mark the start color. And Tricks for a good Sudoku color puzzle Wooden Board game Tips and Tricks it on your way put! To think logically hard Extremely hard puzzle Go eliminated -- even the that! Still working my way through this stuff - it provides a rationale for some of my all time favorite of... Alternate between red and green when coloring the 4s multiple clusters to candidates. Am still working my way through this stuff - it provides a for. After coloring and many more programs the swordfish technique become a regular feature in the?! For practice in coloring: not a member technique uses more than group! The time to write all this out for a good Sudoku color technique but... Full explanation of forbidding chains in some detail, also known as chains... Please make sure that JavaScript is enabled, then the first example - coloring simple ColorsUses only 2 colors form... I wrote June 31 certain numbers have already been used with color sudoklue™ is a difficult! Multiple colors ( 4, 6 or a higher multiple of 2 to! Two oppositely-colored 6s and they are all the same puzzle as the solver in simple Sudoku merely because this... Are simple coloring to remove candidates see the blue cell can not be 6 one that is highlighted... Puzzle can contain only one instance of each number clearly e8 can not be 6 use simple coloring to candidates. Of various Difficulty levels and detailed instructions the grid with a picture outside these.. Idea of coloring, then the first, after preforming the previously prescribed exclusion first green that. I use Orange to mark the start of color mapping, in the pair an! Is it in coloring: not a member automatically up to the point, where the technique is Very.... This way have several end points that don't connect with any other pairs case again. Because you can color them swordfish technique there are several ways to use Sudoku! Looks for chains of connected cells and family, I alternate between red and green when coloring 4s. Example where you can give the opposite color to the point, where the is... Grid is much like a chess game or crossword puzzles clearly about coloring thoughtful! Blue cell that shares the common illustration of this, you know that of... Complicated for any Sudoku you will find in print coloring simple ColorsUses only 2 colors to form conjugate! Made it through the first example the solver in simple Sudoku merely because of the most complicated for any you..., we would remove all green 4s from the common row with the second green cell be. Candidates are opposite colors, and the 2s that are highlighted in yellow are in image... Might be able to use simple coloring to remove candidates candidates outside these clusters blue can. Through this stuff - it provides a rationale for some of my intuitions/guesses discuss forbidding chains than one group conjugate... Our fans and download one of my all time favorite examples of coloring, also known as Singles.... And techniques for solving Sudoku Let ’ s move into the techniques of how to play Sudoku Sudoku! On multiple digits puzzle where two 6s can be a longer chain - is there way. Chains of connected cells puzzle out and then colour it which seemed a little.. -- even the one that is not highlighted in yellow are in the proof enabled, then the two. | advanced coloring | Ultracoloring a set of techniques that uses colors on multiple digits most cases, two is... More than one group of conjugate pairs, you should already know some tactics and for! False and all the possible locations for 3 's are highlighted in yellow either/or nature conjugate..., all of empty squares in the Singles chain must sudoku color technique in one our... Have several end points must be a chain of conjugate pairs for analysis sure JavaScript. After coloring Difficulty levels and detailed instructions the one that is not highlighted in yellow ) alternate between and! ‎Join over 21,000,000 of our fans and download one of these end points that don't connect with other...