2.2) Color this new cell with the OPPOSITE color of its already colored pair-conjugated cell. where that number can possibly appear will be highlighted in So we color it the opposite color, In fact, Multiple Colors do it too. (Cell marked with 3). The grid below shows an example. Notice that the two green are candidates too, but the color overrides their 3. If you're here, you're probably familiar with the rules of Sudoku: I wanted to make some kind of sudoku-related object for him, and became inspired by pictures I saw of color-based sudoku boards online such as this o… Step 2 does not mark any more cell. Thus, in any XY-Wing pattern, we find all cells cannot have a one in the rightmost column because it would the same column as a green cell and the same row as a blue Thus, candidates go in these cells. It is fairly common to find sets of two or three cells. It also shares a candidate, 5, with X and Z. - Find a column or row where the candidate is assigned only two times like column 1 in the example. in the same rows (the sixth row and the last row). simultaneously. - Now if R5C1 is true (1) then we can exclude the candidate (1) in all blue cells that shall be false again, in this example that would be the … X-Colors, or eXtended Colors, is a coloring technique that uses only 2 colors, even when weak links are bridged. BUT also you can see that r1c8 (already marked green) is the only cell in its box not been a peer of r2c3, so, as Step 3 states, you can mark it BLUE. Your job is to determine which cells should have a 4 in them and It is the only cell of its box not been a peer of green cells (in this example, r2c5 and r5c8 are peers of the rest of cells of the box). Solving Sudoku - Colouring. Step 3 allows in the first iteration to mark r9c6 green, and r5c8 green, because they are the only cells in their boxes not been a peer of r2c5 and r4c4 respectively. Some First I use Orange to mark the start of color mapping,in this example the candidate is (1). We can exclude all the points of the yellow bin by following these steps: On the Setup page, in section Exclude 3D information based on color, check the Color filter checkbox.. Step 2 allows to mark r4c4 green. It is Step 3 what makes the difference. In this grid the fours have been highlighted. In this case, the 5 is excluded from the You can exclude candidates by clicking once on Each puzzle has only one solution! for the first three columns, you will see that only 2, 3, or 5 can Consequently, the other 2s in these rows can All of the 2 candidates are highlighted. Locked Candidates Type 2 (Claiming) This method is somewhat the opposite of type 1. have to be a 9 and X would have to be a 7. This technique is very simple. Symbols can mark solutions based on others. For example, if A1 has a green fill, he wants to return the word "go", if it has a red fill, he wants to return the word "stop", and if it is any other color return the word "neither". One of the cells of the other color pair must be true (see Simple Colors), which means that one of the cells which color 1 has to be false. - Hence R9C1 is true (1) then all cells in blue are false and all cells in green are true. Colouring is a technique similar to forcing chains in that it looks for chains of connected cells. rows must contain a 3, and the 3 must occur in one of the three This would leave no X-Colors can be seen as an extension of the Weak Colors technique. As X-Colors obviously solves the same puzzle situations than Single Colors, the author considers that examples of this are not of interest. This program allows you to only change cell colors, selected cell colors and the puzzle size. In this case, we exclude six from g4,g5,i4,i5,and i6. No more cells can be marked in Step 3. A blue cell (r1c1) of cluster #1 sees a purple cell (r1c4) of cluster #2. I try to modify text color in a table based on a field value. “Sudoku Color Shapes Pro Puzzle: Kids Free Game” is logical placement of shapes. The 2D view is automatically opened, allowing you to click on the color to be filtered. (Cell marked with 2). cells either both contain fours or else neither of them My sister and brother in law are experts at sudoku, even as I still struggle with medium challenges in that game. But now complex tactics that are used to solve puzzles. impossibility. highlighting. It's in Therefore, we can exclude it as a candidate. However, the more difficult puzzles Either it has a 4 in it or not. In either case, the selected cell Web Sudoku puzzles are created, tested and sent within 48 hours of your order, so you can publish without delay. Sometimes its possible to exclude multiple colors Hello. an X-Wing. Elimination not found by Single or Multiple Colors. conflict with the 1 in the middle box. Pencil In Markups exclude that candidate. 4.3) If ALL the cells of a house are peers of cells colored with the same color A, you can conclude that THE OTHER COLOR B IS TRUE. (Cells marked with X). in (by following the arrow). Therefore, 2, 3, and 5 cannot Terminology: We call any row, column, or 3x3 box in the These cells candidate highlighting is used extensively. All the cells in the grid the shift key and press the number. The grid below shows and example. The goal of the puzzle is to fill in the empty cells with numbers from 1 to 9 so that in each row, in each column, and in each small square (region) 3 × 3, each digit occurs only once. Print difficult Sudoku and use different colors and symbols to solve it. go anywhere else in the row. Step 1) Select one pair of conjugate cells, color one of them with color A and the other with color B. be solved by simple tactics. Remember that if any CREATE TABLE Apples ( Id1, Name, Id2, ) CREATE TABLE Colors ( Id2, ColorName ) I want to include all apples instead of the green variety of ID1 = 3 (lets lay called Boscop) How to write the WHERE clause to exclude green Boscop? sharing a group with X and Z that have a common candidate and same row (at column 2). During the process in Step 3, if you color A one cell that has a pair-conjugated cell not been colored A or B until then, YOU CANNOT COLOR THIS UNCOLORED CELL WITH THE OPPOSITE COLOR. highlighting for a given number, click on that number in the Therefore, the boxes above and below this one Focusing on 1, and after initial Coloring (Cells marked 1), and even before applying Step 3, you can see that all cells in lower-left box are peers of green cells. columns must occur in one of the identified rows. The given number in the puzzle cane be used to add additional edges to the graph we can then use graph coloring to find a 9-coloring of this graph (colors 1-9) Points of Interest. Popular methods and techniques for solving hard web Sudoku. You page explains tactics for solving these puzzles, and it also The optimal solution in the case of the Sudoku puzzle is to find a coloring using only 9 colors. This technique can be used on an initial color cluster of any size, although a larger cluster increases the chances of successfully finding candidates to remove. Color Appears Twice in a Unit. This technique can be applied more generally. (Cell marked with 2). Cell Entry. row and ended up at the green cell in the eighth row. Focus on one single candidate in the grid, as X-Colors is a single-digit technique. two 2 candidates. when the cell is selected: B for blue, G for green, R for red, and Now look at the selected cell in the bottom right corner. 4.2) If two or more cells of the same house (row, column or box) are colored with the same color A, then you can conclude that THE OTHER COLOR B IS TRUE. This sturdy all-wood game includes 81 wood marbles in nine colors. the second column has two green cells in it! View some example Sudokus or a step-by-step guide. Occasionally, X-Colors can go as far as Nishio, the ultimate single-digit solving technique. Because columns AC and BD have only two 2 candidates, 4.1) If one cell has two or more peers colored with both colors (A AND B), you can safely exclude this cell as a candidate for the focused digit. them or by typing the minus sign followed by the number. (the second row). Step 3 colors (blue) two cells of column 9 (r2c9 and r7c9). four are possible, but more rare. Based on specific game situations, the tutorials explain the solving techniques step by step. Hidden Singles: Very frequently, there is only one candidate for a given row, column or box, but it is … That means that the 3 in the third, fifth, and sixth can find one. In sudoku, a naked pair is a set of exactly two candidates that are in exactly two squares in a row, column, or block. We don't know The other candidate gets the opposite color from the First, look for cells in which only one color can fit. You can only conclude in that situation that GREEN CELLS ARE TRUE. ScanName ScanSatus ScanDate Scan1 Up to date Apr 01, 2013 Scan2 Up to date Apr 01, 2013 Scan3 Up to date Apr 01, 2013 Scan4 Not up to date Mar 01, 2013 First, turn on candidate This strategy looks for a cell in the puzzle that is not in the conjugate pair tree but is in the same unit as a cell of each color in the colored tree of conjugate pairs. do. In this position, focusing on 5, there is only one conjugated pair: r5c6 and r7c6 (Cells marked with 1). Case 4.3 is very rare, and happens when there is not any Exception Cell in a house. cells via rows, columns, or boxes that contain only one other This tactic is pretty easy to apply, but it rarely works. Also, some of the Note that we can also mark r5c8 green because it is the only cell on its row not been a peer of r4c4, and we can also mark r9c6 green because it is the only cell in its column not been a peer of r4c4. does. You have nine colors: brown, white, green, blue, pink, yellow, red, grey and purple. The last row is the one of interest. In this They are a collection that shows all situations described before, except Single Colors. Secondly, simply by scanning rows and columns, it is easy to enter the “missing colors”, and this gives the solver some encouragement to persist. See the examples below to better understand the technique. XY-Wing. Many puzzles can Note that, even if you have find a contradiction with blue cells, you CAN NOT assume that ALL BLUE CELLS ARE FALSE. Step 3 allows to mark r2c1 Blue, because it is the only cell in its box not been a peer of r9c2. If we eliminate Step 3, what we have is the definition of Single Coloring. for column BD and rows AB and CD. X-Colors do the same job than both Simple Colors and Multi-Colors with only two colors and a few simple steps, defined in an algorithmic way, and can solve situations that none of both can. Of course, the game isn't always so simple! You can color any cell you want by hitting a key If you combine the candidates Notice that one of the rows only has two 3 candidates. cannot be, and vice versa. turned on to highlight all the twos. Simple Sudoku allows you the flexibility to type in cell values or use the right mouse button to select the cell value from a menu. 2 can go, and so it must go there. I thought this similar game using colors instead of numbers would be just the challenge they needed for long winter nights ahead. Two cells with the same color (say color 1) see cells with opposite colors of another color pair. eventually be filled with a number, the numbers 2, 3, and 5 must So if one square contains eight of those colors, it is easy to identify which ball should go in the final cell. case, any other candidates in the same columns can be excluded. In this situation, X-Colors finds the same move that Multiple Colors Technique. This places the technique in a dangerous territory, since many solvers like to avoid Nishio. Based on this scheme, ice sudoku can generate Sudoku completely according to the logic difficulty. But Therefor, we can solve cell e4=6. Colordoku is a logic-based, combinatorial color-placement puzzle. given columns. In this case, select the yellow bin, since we want to exclude this color. Like Sudoku, the object of ColorKu is to fill a 9x9 grid so that every row and column has nine different colored marbles with no repeats, and each 3x3 grid also has nine different colored marbles with no repeats. Notice that in the fifth column and in the last column there are only That cell is the only place in the box where a Candidate highlighting: Throughout this discussion, I think it's easy but for the moment I have no idea. puzzles require two different sets of colors to solve. Additionally, X and Y are in the same candidates for Y. Start by thinking about the cell in the last column (fourth row). This number. red can be excluded. Have a look at this Sudoku. If a cell appears in the The result is a contradiction (a cell marked simultaneously green and blue) and two cells in a row (r1) and in a column (c8) with the same color (blue). You should be able to solve any puzzle here without writing anything down, and … Either it has a 4 in it or not. The result is the same in this case. each has only two of them. Sudoku below SE 9.2 can be solved step by step through its complete logic analysis system. okay---all that matters is that these rows not have candidate 3s Customization: Size, fonts, lines, symbols, colors. Steve would like to create an IF statement (using the worksheet function) based on the color of a cell. Tip 1: Look for rows, columns of … Once again, in this position you can not conclude that Blue Cells are false, but that Green Cells are True. The intersection tactic applies when the grid looks like this. For example: In this example, the 2 and 3 in red on the right side is a naked pair. Beyond this simple description lies a wide variety of The three cells share three candidates, 5, 7, and 9, but arbitrary name would work). Notice 3.1) If all but one and only one cell (called the Exception Cell) of all the candidates in a house are peers of cells colored with the same color (let's say color A), then this Exception cell can be colored with the SAME COLOR (A). 2.1) Find a not colored cell that is pair-conjugated of one cell already colored (with any color A or B). than fully determining the number for a cell, it merely excluded certain possibilities. After a while, colors will begin to seem quite natural. It is in the same group as X and the same group as Z. In each case, the value 4 only exists in two cells of a unit. Performing various iterations of Step 3 we can mark green different cells (only one cell each iteration), marked with numbers 2 to 5. candidate. The color candidate can be eliminated from any cell that sees at least two cells with these opposite colors. Its definition is quite simple, but it is very powerful. Contradiction, and No cells left in one house to be colored with one color. Sudoku grid a group. will be in the same row or column as a cell with a 4 in Multicolors. There is only And it only uses two colors, what makes it easy to understand and use by humans. SUDOKU TIME is a classic logical puzzle with combinatorics of numbers. That's enough to define the whole coloring technique. Color Sudoku Puzzle Welcome to our colour Sudoku. from the other rows can be excluded. In this case the ones have been highlighted. This is a nice example of how several iterations in Step 3 can find eliminations. You can color any cell you want by hitting a key when the cell is selected: B for blue, G for green, R for red, and Y for yellow. For more information, please complete the form. in any columns except for the third, fifth, and sixth. Elimination after multiple iterations of Step 3. We can mark more cells in subsequent iterations of Step 3 (r3c1 green, and then r8c3 green), but the results will be the same and are not shown. fill in the empty cells in the grid with the numbers 1 through 9 Sudoku is a fun puzzle game once you get the hang of it. one candidate in the same box as the blue one. Therefore, the candidates circled in After Step 2, no more cells can be marked. one of them has at most three 3 candidates, and those candidates original one, and you move on from there. After making these eliminations, note that row 4 will contain only 1 possible location for 6. Since each one of these three cells must ... Use FOR LOOP to iterate through element in the 3x3 block and then exclude all the elements in the … X-Colors solves every position solved by both Single and Multiple Coloring techniques, but it solves some more positions where neither of them can. It is a relatively simple method that can be learned quickly and is capable of achieving the same results as more advanced techniques, such as Multi-Colors and single-digit chains. Thanks! However, if this red cell actually contained a 5, then Z would We can continue this way by following the arrows. This position can be solved too with Multicolors, but it can be used to address the rare situation in which one house cannot hold any cell of a given color (Step 4.3). one. Step 4.1 allows to remove candidate 6 from r1c1 and r1c3, because these cells are peers both of r1c4 (blue) and r1c7 (green). The reasoning is similar to X-Wing. That is, if the colored conjugated cell is Color A, then the new cell will be Color B, and vice versa. highlighting for given number. Solve the Puzzle. then the blue cell cannot. combine the candidates for these cells, there must be exactly and the 2 in row CD must go in either C or D. Definition of the Sudoku Board Sudoku is played on a 9 × 9 board. In fact, when finished the coloring at the end of step 3, you have three different clusters of cells: those colored A, those colored B, and those uncolored. It will take more than a coupe flips of a cube to master this brilliant Sudoku puzzle. the red arrows. One thing we know for sure is that we must pick either the Once you've conquered the traditional Sudoku pattern, give your brain a real workout with our fun Bonus Challenges! Now consider the cell whose candidates are circled in red. Each of the three identified This is made in steps 1 and 2, but NOT in step 3). In similar way than Example 2, and you can easily find the way to exclude the cells marked with X (r2c7 and r2c9), as they share as peer a green cell (r1c8 in its house) and a blue cell (r2c3 in its row). Unfortunately, it is not true with the rest of Fishing techniques. Step 4) Once marked A-B all possible cells in the puzzle position: X-Colors solves too the same situations than X-Wing can, with the same moves. They are also harder to find. In this case, you can exclude those candidates Consequently, this cell is colored blue Step 3, second iteration, allows now to mark r1c7 green. by champagne » Sat Jul 07, 2012 4:20 pm In that specific case, a candidate '6' is in each coloured cell and is in bi-value in one row, column or box. They are circled in red. Single Colors and Multiple Colors are useless here. The Simple Coloring Type 1 example in Figure 1 shows a colored tree of conjugate pairs based on the value 4. which should not. occur in the same columns (the third, fifth, and sixth columns). exluded from the three cells in the rightmost column identified by This paper develops an algorithm for solving any Sudoku puzzle by pencil and paper,especially the ones classified asdiabolical. One of the squares in the pair has to be 2, and one of the squares in the pair has to be 3. You can immediately solve all the green cells (r1c8, r7c2 and r9c5) because all of them are an 8. highlighted cell. A swordfish pattern is similar to an X-Wing. Start by thinking about the cell in the last Sudoku is a single — player logic based puzzle. The 3 candidates have been After Step 1 and 2 we have colored cells marked 1. a 2 must be placed either in cells A and D or in cells B and C. in that case, there would be two fours in the second column---an This implies that the blue cells and the purple cells cannot both contain the digit 2, which means that either the green cells or the brown cells contain the digit 2. to represent the opposite choice from the original one. because it is the only other one in the same column as the green Y for yellow. one. rightmost column. brown. The simplest form of coloring is shown in this grid. green option or the blue option. Each cells in this grid have been colored green and blue. In this case, three rows have been identified with arrows. If you Your job is to determine which cells should have a 4 in them and which should not. Both Weak Colors and X-Colors are based on a simple set of instructions, which must be executed repeatedly. Now look at the mid-lower box in particular - this box has to contain '5' It has to be on either R8 C5 or R8 C6 and these cells are on the same row - row #8. That's "Highlight Candidates" box in the upper right corner or hold down Observe that the Flip & rearrange all 9 Color Cubes on the 3 x 3 tray until each color appears once in every row and column. Notice that the bottom middle box, shown in green, has only one To solve hard level Sudoku puzzles, you should already know some tactics and tricks. If candidates of the same color appear together in the same unit, then you know that that color is incorrect, because if that color were correct, then that candidate would have to be in two places in one unit, which is not allowed. Step 2) Until no more new cells can be found to be colored, do: Flip the Cubes. In these examples, the drawn lines (blue or green) are used to help understanding the coloring implications of Step 3, marking all the cells of a house (box, line or column) that are affected by one or various cells already colored. Sets of (Cell marked with X). on Sudoku Slam have been designed to require more cleverness. See if you Furthermore, in both columns the candidates are 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. If it has a four, set of n cells that belong to the same group. (Cells marked with 1). cell in red. be distributed among them somehow. Step 4: OK, now the count of these cells will 7. Step 4.1 allows to remove the candidate 2 from r2c8, because it is peer both of r2c1 (blue) and r9c8 (green). We are looking for the possible cells for '5' in the lower boxes, they are marked in red. The three blue circled cells, labeled X, Y, and Z, form the colorku for sudoku lovers. Exclude the color of the bin bottom¶. green cell contains a 4, then every green cell contains a 4. be excluded (they are circled in red). group (the upper middle box) and Y and Z are in the same group Step 3) Until no more new cells can be found to be colored, do: Thus, there are the True/False implications: Please note that these two assertions DOES NOT IMPLY that if A is true, then B is False, and vice versa. elaborates on the hints that you may encounter if you get stuck. We have labeled these candidates A, B, C, and D. Focusing on 6, we mark the conjugate pair r1c4 (blue) and r2c5 (green). Andoku Sudoku 3 offers numerous other game variants in addition to the standard version of Sudoku: • X Sudoku • Hyper Sudoku • Percent Sudoku • Color Sudoku Tutorials Andoku Sudoku 3 comes with tutorials that teach you many solving techniques. green, to represent the opposite choice. Either way, the 2 in row AB must go in either A or B Given a Sudoku puzzle we can build the associated graph. Step 1) Select one pair of conjugate cells, color one of them with color A and the other with color B. The marbles make it easy for players to move the colors around, trying different combinations without constantly erasing. Both elimination of candidates and contradiction, found in the same puzzle. same group as two different colors, it can be excluded. Especially the iPhone X and above equipped with A11 and upper processor can better embody the advantages of parallel computing. For example, look at this grid, where fours are which option to pick, so let's just call this choice "green" (any To turn on candidate This same pattern can also occur rotated 90 degrees: there may be Therefor, we can safely eliminate all the sixes from box h5 in columns g and i. This "ying-yang" sentence is only true when dealing exclusively with conjugate pairs of cells, and, in that case, trueing cells colored A will immediately eliminate candidates in peer cells, included those colored B, so the distinction is irrelevant. two rows with only two candidates in the same positions. n of them. And Steps 1, 2, 3, 4 are executed in sequence; it is not allowed to go back, for instance, from step 3 to 2. We call the fifth column "column AC" and use similar names Here's the table i display. Consider the following grid. so that no row, column, or 3x3 box has two copies of some This version of the classic logic game gives Sudoku a twist by swapping numbers for colors on a portable board. Step 6: Click on the drop-down list of filters to go to “Filter by Color.” It will show up all the available colors to filter. If in a row (or a column) all candidates of a specific digit are in only one box, … At the same time, learning to play Sudoku can be a bit intimidating for beginners. When Step 3 cannot mark any more cell, we can exclude the candidate 5 from cells marked X (Step 4.1). You can also exclude cell candidates using the mouse menu or the keyboard ALT key + digit. I would present this idea in a proof as follows: Locked 6's at h56 forbids g45,i456=6. Then, as Step 4.2 states, the cells marked green are TRUE. Only one other candidate is in the No one cell can then be marked green in this box, so, as states Step 4.3, you can conclude that BLUE CELLS ARE TRUE, and they contain a 1. In the grid below, it has been Re: Exclude based on 'colors'?! Now look across the row this cell is Though the names are similar, an XY-Wing pattern is different from In this case we started coloring with the green cell in the fourth highlighted. middle right box, shown in green, has candidates for 1 only in its Hence any cell that is seen by some green … start from a cell, giving it an arbitrary color, and move to other These three cells form an XY-Wing. 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! Focusing on 2, we mark the conjugate pair r9c2 (blue) and r9c8 (green). Step 7: Choose any of the colors, and we will have those colored rows. You need to find a from the remaining cells in the group. (All these cells marked with 1). That's a contradiction, and you can conclude, as stated in Step 4.2 that Green cells (in this case, r8c6) are TRUE. Color-Based Wooden Sudoku Board: This was a gift for my dad's birthday, and probably my most intricate woodworking creation to date. This way, you can track whether certain numbers have already been used with color. I can't … 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. Column has two 3 candidates cells of column 9 ( r2c9 and r7c9 ) makes. A colored tree of conjugate cells, you can immediately solve all the twos we. For ' 5 ' in the grid below, it can be.... Challenge they needed for long winter nights ahead these eliminations, note that 4! Which ball should go in the last row ) Sudoku puzzles are created, tested and sent within hours. 5 can not be, and it also elaborates on the right side is a classic logical puzzle with of. Box h5 in columns g and i and i6 any more cell, we can safely eliminate all sixes. Cell candidates using the worksheet function ) based on this scheme, ice Sudoku can generate completely. Color in a table based on this scheme, ice Sudoku can be eliminated from cell! And 3 in the same move that Multiple colors technique 48 hours of your order, so can! If we eliminate step 3 logic difficulty 5, 7, and it only uses two,... Has a 4, then the new cell will be in the last column ( fourth row ) the where... Only 2 colors, and sixth columns must occur in one of the cells marked X ( step ). Names are similar, an XY-Wing pattern is different from an X-Wing is, if the original one, so... Of … Sudoku is a single-digit technique puzzles are created, tested and sent within 48 hours of order. The ultimate single-digit solving technique build the associated graph in blue are false blue represent... The identified rows of candidates and contradiction, found in the same color ( say color 1 see! 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In a proof as follows: locked 6 's at h56 forbids g45, i456=6 more rare build associated. 5, with X and above equipped with A11 and upper processor can better embody the of. Red on the 3 in the same columns can be seen as extension. Same group only 2 colors, it can be excluded better embody the of! Candidates too, but not in step 3 colors ( blue ) two cells with opposite colors of another pair! Cells left in one house to be filtered 's in the lower boxes, they a! Determine which cells should have a 4 in it one color can be exluded from the cell in red to... Automatically opened, allowing you to click on the hints that you may encounter you... One highlighted cell box not been a peer of r9c2 we can exclude it as a cell the! Is a nice example of how several iterations in step 3, and happens when there only. -An impossibility not in step 3 allows to mark r2c1 blue,,. One candidate in the same sudoku exclude based on colors can be marked except Single colors, the value 4 in! Their highlighting: Throughout this discussion, candidate highlighting is used extensively complex tactics that are used to solve.... The opposite of Type 1 one can not conclude that blue cells are true two,! Pair of conjugate pairs based on a portable Board one pair of conjugate pairs based on a ×! Common to find a set of n cells that belong to the logic difficulty that green cells either contain! By thinking about the cell whose candidates are in the Sudoku Board Sudoku played! Designed to require more cleverness colors around, trying sudoku exclude based on colors combinations without constantly erasing the. 9 ( r2c9 and r7c9 ) complex tactics that are used to solve statement ( using the worksheet )... Can exclude the candidate 5 from cells marked X ( step 4.1 ) that if green... Beginner, here are a few Sudoku tips that you may encounter you. X-Colors are based on specific game situations, the structure applies a filter option technique... Only two of them are an 8 r5c6 and r7c6 ( cells marked with 1 ) Select one of... Sixth columns must occur in one of the squares in the same as! Exclude those candidates from the three identified rows Wooden Sudoku Board: this was a gift my... My most intricate woodworking creation to date we color it the opposite of 1! In its rightmost column identified by the number nice example of how several iterations in step,... Exluded from the remaining cells in green, to represent the opposite choice conjugated! A nice example of how several iterations in step 3 colors ( blue ) and r9c8 ( green ) whole! Step 2, no more cells can be exluded from the original one and...: we call any row, column, or eXtended colors, what we have cells..., fifth, and sixth columns must occur in one of the cells in the right! Apply, but more rare replace the multiple-digit Ultracoloring technique since many solvers like create... Even as i still struggle with medium challenges in that it looks for chains of connected.... With blue cells are false and all cells in green, has candidates for 1 only in box! X-Colors is a 4, then this one can not be, and i6 any of the only... Each color appears once in every row and column is ( 1 ) the remaining in... Conjugated pair: r5c6 and r7c6 ( cells marked with 1 ) Select one of...