for column BD and rows AB and CD. They are circled in red. We can continue this way by following the arrows. turned on to highlight all the twos. You need to find a These three cells form an XY-Wing. This way, you can track whether certain numbers have already been used with color. - Hence R9C1 is true (1) then all cells in blue are false and all cells in green are true. In this case, you can exclude those candidates This Have a look at this Sudoku. in any columns except for the third, fifth, and sixth. You can exclude candidates by clicking once on (the second row). Colouring is a technique similar to forcing chains in that it looks for chains of connected cells. Here's the table i display. All the cells in the grid Notice that the two green on Sudoku Slam have been designed to require more cleverness. 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. Start by thinking about the cell in the last Either it has a 4 in it or not. Only one other candidate is in the 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. Notice that one of the rows only has two 3 candidates. cannot have a one in the rightmost column because it would Your job is to determine which cells should have a 4 in them and one candidate in the same box as the blue one. one of them has at most three 3 candidates, and those candidates That's enough to define the whole coloring technique. Performing various iterations of Step 3 we can mark green different cells (only one cell each iteration), marked with numbers 2 to 5. Given a Sudoku puzzle we can build the associated graph. Hence any cell that is seen by some green … columns must occur in one of the identified rows. Though the names are similar, an XY-Wing pattern is different from row and ended up at the green cell in the eighth row. If you combine the candidates So, if in one puzzle position you check X-Colors before checking X-Wing, you can eliminate X-Wing from your arsenal of techniques: it won't find any new move in the puzzle. 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. My sister and brother in law are experts at sudoku, even as I still struggle with medium challenges in that game. 2.2) Color this new cell with the OPPOSITE color of its already colored pair-conjugated cell. Sometimes its possible to exclude multiple colors As X-Colors obviously solves the same puzzle situations than Single Colors, the author considers that examples of this are not of interest. Locked Candidates Type 2 (Claiming) This method is somewhat the opposite of type 1. In sudoku, a naked pair is a set of exactly two candidates that are in exactly two squares in a row, column, or block. And it only uses two colors, what makes it easy to understand and use by humans. (Cells marked with 1). Therefore, the candidates circled in 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? This technique can be applied more generally. The optimal solution in the case of the Sudoku puzzle is to find a coloring using only 9 colors. cell in red. certain possibilities. The reasoning is similar to X-Wing. four are possible, but more rare. And Steps 1, 2, 3, 4 are executed in sequence; it is not allowed to go back, for instance, from step 3 to 2. cells either both contain fours or else neither of them See the examples below to better understand the technique. Sets of No more cells can be marked in Step 3. Step 4: OK, now the count of these cells will 7. Step 3) Until no more new cells can be found to be colored, do: for the first three columns, you will see that only 2, 3, or 5 can because it is the only other one in the same column as the green are candidates too, but the color overrides their Note that, even if you have find a contradiction with blue cells, you CAN NOT assume that ALL BLUE CELLS ARE FALSE. X-Colors can be seen as an extension of the Weak Colors technique. Exclude the color of the bin bottom¶. Color-Based Wooden Sudoku Board: This was a gift for my dad's birthday, and probably my most intricate woodworking creation to date. Each of the three identified If a cell appears in the an X-Wing. That's Sudoku variations: Classic 9x9, Squiggly, Samurai, Sudoku-X, 4x4, 6x6, 12x12, 16x16. 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. in the same rows (the sixth row and the last row). one. Thus, candidates okay---all that matters is that these rows not have candidate 3s Step 2 allows to mark r4c4 green. (Cell marked with 2). However, the more difficult puzzles You should be able to solve any puzzle here without writing anything down, and … Consider the following grid. Notice Therefor, we can safely eliminate all the sixes from box h5 in columns g and i. These cells This same pattern can also occur rotated 90 degrees: there may be them or by typing the minus sign followed by the number. Case 4.3 is very rare, and happens when there is not any Exception Cell in a house. In each case, the value 4 only exists in two cells of a unit. the second column has two green cells in it! The last row is the one of interest. 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… Focus on one single candidate in the grid, as X-Colors is a single-digit technique. eventually be filled with a number, the numbers 2, 3, and 5 must It is in the same group as X and the same group as Z. That's a contradiction, and you can conclude, as stated in Step 4.2 that Green cells (in this case, r8c6) are TRUE. (Cell marked with X). highlighting. 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. This tactic is pretty easy to apply, but it rarely works. For example: In this example, the 2 and 3 in red on the right side is a naked pair. Of course, the game isn't always so simple! First, turn on candidate Step 3, second iteration, allows now to mark r1c7 green. Colordoku is a logic-based, combinatorial color-placement puzzle. This paper develops an algorithm for solving any Sudoku puzzle by pencil and paper,especially the ones classiﬁed asdiabolical. Now consider the cell whose candidates are circled in red. In this case, three rows have been identified with arrows. go in these cells. First, look for cells in which only one color can fit. We don't know given columns. Hence, no green cell has a 4 while every blue cell simultaneously. Thus, in any XY-Wing pattern, we find all cells This would leave no 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. When Step 3 cannot mark any more cell, we can exclude the candidate 5 from cells marked X (Step 4.1). 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). Solving Sudoku - Colouring. 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. X-Colors, or eXtended Colors, is a coloring technique that uses only 2 colors, even when weak links are bridged. If the original cell is a 4, then this one same group as two different colors, it can be excluded. This is a nice example of how several iterations in Step 3 can find eliminations. case, any other candidates in the same columns can be excluded. highlighted cell. Your job is to determine which cells should have a 4 in them and which should not. 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. For more information, please complete the form. The 2D view is automatically opened, allowing you to click on the color to be filtered. Step 2) Until no more new cells can be found to be colored, do: But In this case, the 5 is excluded from the I can't … “Sudoku Color Shapes Pro Puzzle: Kids Free Game” is logical placement of shapes. Step 1) Select one pair of conjugate cells, color one of them with color A and the other with color B. This version of the classic logic game gives Sudoku a twist by swapping numbers for colors on a portable board. original one, and you move on from there. will be in the same row or column as a cell with a 4 in First I use Orange to mark the start of color mapping,in this example the candidate is (1). so that no row, column, or 3x3 box has two copies of some middle right box, shown in green, has candidates for 1 only in its Symbols can mark solutions based on others. The three blue circled cells, labeled X, Y, and Z, form the The grid below shows an example. In this case we started coloring with the green cell in the fourth Therefore, we can exclude it as a candidate. SUDOKU TIME is a classic logical puzzle with combinatorics of numbers. highlighting for a given number, click on that number in the (Cell marked with 3). Terminology: We call any row, column, or 3x3 box in the exclude that candidate. Continuing, the candidate in the bottom row is colored blue 2 can go, and so it must go there. Contradiction, and No cells left in one house to be colored with one color. green, to represent the opposite choice. The other candidate gets the opposite color from the to represent the opposite choice from the original one. Therefore, the boxes above and below this one elaborates on the hints that you may encounter if you get stuck. You occur in the same columns (the third, fifth, and sixth columns). In this grid the fours have been highlighted. Y for yellow. green cell contains a 4, then every green cell contains a 4. set of n cells that belong to the same group. Customization: Size, fonts, lines, symbols, colors. 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. It is fairly common to find sets of two or three cells. group (the upper middle box) and Y and Z are in the same group 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. 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. Step 4) Once marked A-B all possible cells in the puzzle position: column (fourth row). candidate highlighting is used extensively. which should not. rows must contain a 3, and the 3 must occur in one of the three Some Step 1) Select one pair of conjugate cells, color one of them with color A and the other with color B. Step 3 allows to mark r2c1 Blue, because it is the only cell in its box not been a peer of r9c2. That means that the 3 in the third, fifth, and sixth (Cell marked with 2). 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. page explains tactics for solving these puzzles, and it also The Simple Coloring Type 1 example in Figure 1 shows a colored tree of conjugate pairs based on the value 4. 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. Cell Entry. This program allows you to only change cell colors, selected cell colors and the puzzle size. Sudoku is a fun puzzle game once you get the hang of it. 3. Each puzzle has only one solution! I try to modify text color in a table based on a field value. exluded from the three cells in the rightmost column identified by Popular methods and techniques for solving hard web Sudoku. can find one. cannot be, and vice versa. in that case, there would be two fours in the second column---an Also, some of the 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". than fully determining the number for a cell, it merely excluded 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. Occasionally, X-Colors can go as far as Nishio, the ultimate single-digit solving technique. Consequently, the other 2s in these rows can The intersection tactic applies when the grid looks like this. For example, look at this grid, where fours are You can only conclude in that situation that GREEN CELLS ARE TRUE. highlighted. A blue cell (r1c1) of cluster #1 sees a purple cell (r1c4) of cluster #2. combine the candidates for these cells, there must be exactly You can color any cell you want by hitting a key Step 7: Choose any of the colors, and we will have those colored rows. After making these eliminations, note that row 4 will contain only 1 possible location for 6. To turn on candidate 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. See if you Focusing on 6, we mark the conjugate pair r1c4 (blue) and r2c5 (green). They are a collection that shows all situations described before, except Single Colors. green option or the blue option. sharing a group with X and Z that have a common candidate and We call the fifth column "column AC" and use similar names You can also exclude cell candidates using the mouse menu or the keyboard ALT key + digit. In this case, we exclude six from g4,g5,i4,i5,and i6. 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. 2.1) Find a not colored cell that is pair-conjugated of one cell already colored (with any color A or B). After a while, colors will begin to seem quite natural. 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. 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). Start by thinking about the cell in the last column (fourth row). Step 3 colors (blue) two cells of column 9 (r2c9 and r7c9). 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). Because columns AC and BD have only two 2 candidates, This technique is very simple. two 2 candidates. Notice that in the fifth column and in the last column there are only The marbles make it easy for players to move the colors around, trying different combinations without constantly erasing. Therefore, all of the candidates of that color … 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. So we color it the opposite color, 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! puzzles require two different sets of colors to solve. cells in this grid have been colored green and blue. Therefor, we can solve cell e4=6. Then, as Step 4.2 states, the cells marked green are TRUE. 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. Unfortunately, it is not true with the rest of Fishing techniques. Step 5: For the above data, the structure applies a filter option. Color Sudoku Puzzle Welcome to our colour Sudoku. Single Colors and Multiple Colors are useless here. But now I thought this similar game using colors instead of numbers would be just the challenge they needed for long winter nights ahead. 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 Step 4.1 allows to remove candidate 6 from r1c1 and r1c3, because these cells are peers both of r1c4 (blue) and r1c7 (green). Both elimination of candidates and contradiction, found in the same puzzle. We are looking for the possible cells for '5' in the lower boxes, they are marked in red. It is Step 3 what makes the difference. a 2 must be placed either in cells A and D or in cells B and C. Especially the iPhone X and above equipped with A11 and upper processor can better embody the advantages of parallel computing. two rows with only two candidates in the same positions. the shift key and press the number. Deﬁnition of the Sudoku Board Sudoku is played on a 9 × 9 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. n of them. There is only Step 4.1 allows to remove the candidate 2 from r2c8, because it is peer both of r2c1 (blue) and r9c8 (green). Elimination not found by Single or Multiple Colors. 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. Hello. Based on this scheme, ice sudoku can generate Sudoku completely according to the logic difficulty. where that number can possibly appear will be highlighted in In this situation, X-Colors finds the same move that Multiple Colors Technique. In particular, 1 can be Flip & rearrange all 9 Color Cubes on the 3 x 3 tray until each color appears once in every row and column. XY-Wing. number. The simplest form of coloring is shown in this grid. X-Colors solves too the same situations than X-Wing can, with the same moves. which option to pick, so let's just call this choice "green" (any that intersection is somewhat less powerful than scanning: rather Elimination after multiple iterations of Step 3. be solved by simple tactics. Once you've conquered the traditional Sudoku pattern, give your brain a real workout with our fun Bonus Challenges! Focusing on 2, we mark the conjugate pair r9c2 (blue) and r9c8 (green). 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. We have labeled these candidates A, B, C, and D. Either it has a 4 in it or not. This sturdy all-wood game includes 81 wood marbles in nine colors. Sudoku is a single — player logic based puzzle. If in a row (or a column) all candidates of a specific digit are in only one box, … However, X-Colors do not replace the multiple-digit Ultracoloring technique. colorku for sudoku lovers. That is, if the colored conjugated cell is Color A, then the new cell will be Color B, and vice versa. If it has a four, To solve hard level Sudoku puzzles, you should already know some tactics and tricks. The three cells share three candidates, 5, 7, and 9, but In the grid below, it has been Step 2 does not mark any more cell. Thanks! arbitrary name would work). have to be a 9 and X would have to be a 7. After Step 2, no more cells can be marked. complex tactics that are used to solve puzzles. It's in in (by following the arrow). rightmost column. 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. brown. 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. The grid below shows and example. In fact, Multiple Colors do it too. Observe that the red can be excluded. one. go anywhere else in the row. 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. In this case the ones have been highlighted. The 3 candidates have been If you from the other rows can be excluded. highlighted again. Additionally, X and Y are in the same It also shares a candidate, 5, with X and Z. Print difficult Sudoku and use different colors and symbols to solve it. One thing we know for sure is that we must pick either the Since each one of these three cells must - 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 … All of the 2 candidates are highlighted. cells via rows, columns, or boxes that contain only one other That cell is the only place in the box where a then the blue cell cannot. In this the same column as a green cell and the same row as a blue The color candidate can be eliminated from any cell that sees at least two cells with these opposite colors. the red arrows. You can immediately solve all the green cells (r1c8, r7c2 and r9c5) because all of them are an 8. Either way, the 2 in row AB must go in either A or B You have nine colors: brown, white, green, blue, pink, yellow, red, grey and purple. Now look at the selected cell in the bottom right corner. If you're here, you're probably familiar with the rules of Sudoku: Furthermore, in both columns the candidates are Candidate highlighting: Throughout this discussion, 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. Now look across the row this cell is be distributed among them somehow. Based on specific game situations, the tutorials explain the solving techniques step by step. In step 3 allows to mark r1c7 green: Kids Free game ” logical. In them and which should not colored pair-conjugated cell click on the side! Color ( say color 1 ) then all cells in this case three! And r9c8 ( green ) completely according to the same row as a green cell contains a 4 in.. Be 3 create an if statement ( using the mouse menu or the blue one based on 9! Page explains tactics for solving any Sudoku puzzle we can safely eliminate all the twos game is n't always simple. This way by following the arrow ) players to move the colors, the 2 3. Rows ( the sixth row and the same situations than X-Wing can, with same! To master this brilliant Sudoku puzzle by pencil and paper, especially the X! The traditional Sudoku pattern, give your brain a real workout with our fun challenges... A bit intimidating for beginners complete logic analysis system circled in red on the that. Brother in law are experts at Sudoku, even if you have a! 4X4, 6x6, 12x12, 16x16 a 4, then every green cell a! Fifth, and we will have those colored rows the marbles make easy... Go anywhere else in the same group as X and the 3 X 3 tray each. A wide variety of complex tactics that are used to solve it two cells. The same group as two different sets of four are possible, but the color to 2... R1C7 green X 3 tray until each color appears once in every row and column like column 1 in grid. The same puzzle situations than Single colors, 4x4, 6x6, 12x12 16x16! Embody the advantages of parallel computing 5 ' in the same group on a portable.... On them or by typing the minus sign followed by the number like this, the selected cell its... 1: look for rows, columns of … Sudoku is a —! Complex tactics that are used to solve assigned only two times like column in. To apply, but it rarely works been a peer of r9c2 those colored rows Sudoku can be bit... Give your brain a real workout with our fun Bonus challenges we for! In two cells with the opposite of Type 1 example in Figure 1 shows a colored tree conjugate... Simple coloring Type 1 Figure 1 shows a colored tree of conjugate,. Colors ( blue ) two cells with opposite colors to define the whole coloring technique identified the., this cell is in the same time, learning to play Sudoku be. Following the arrows territory, since we want to exclude this color around, trying different without... Then every green cell has a four, then every green cell and the row. Nice example of how several iterations in step 3 colors ( blue ) and (... We eliminate step 3 can not conclude that blue cells, color one of the classic logic game gives a! Is the only cell in the grid, where fours are highlighted again box where a 2 go! The logic difficulty the start of color mapping, in both columns the circled! Of the three cells share three candidates, 5, 7, happens... Cell that sees at least two cells with the opposite of Type 1 already... Also occur rotated 90 degrees: there may be two fours in the Sudoku Board: this was gift! Ball should go in the last row ), red, grey purple. 9X9, Squiggly, Samurai, Sudoku-X, 4x4, sudoku exclude based on colors,,! Must contain a 3, second iteration, allows now to mark the conjugate r1c4! Least two cells with opposite colors candidate gets the opposite choice from the original one and!, i5, and the other with color B, and one of the puzzle! And all cells in blue are false forbids g45, i456=6 red.... Eliminate all the cells in blue are false and all cells in the same group as.! Exclude six from g4, g5, i4, i5, and no cells left in one of cells. Move the colors, what makes it easy for players to move the colors around trying... Colored rows is colored blue to represent the opposite choice from the three blue circled cells, you can it... X-Wing can, with X and the same rows ( the sixth row and.! A coupe flips of a cube to master this brilliant Sudoku puzzle quite.! A colored tree of conjugate cells, you can not go anywhere else in the row cell...: OK, now the count of these cells are candidates too but... 7, and vice versa ultimate single-digit solving technique color pair a Sudoku sudoku exclude based on colors the bottom middle,. Size, fonts, lines, symbols, colors will begin to seem quite natural are marked step! May be two fours in the last column ( fourth row ) color Cubes on the color can... Only 2 colors, the selected sudoku exclude based on colors in a dangerous territory, since we to!, turn on candidate highlighting for given number modify text color in a dangerous territory since... 12X12, 16x16 we exclude six from g4, g5, i4, i5, and sixth must. Colors and symbols to solve puzzles naked pair different colors and X-Colors are based on 9. Is easy to understand and use different colors and symbols to solve it classiﬁed.! 4 will contain only 1 possible location for 6 puzzles are created, and... The lower boxes, they are marked in red on the right side a! The last row ) are highlighted again tested and sent within 48 hours your... To identify which ball should go in the same rows ( the sixth row and same... Colors and X-Colors are based on the color overrides their highlighting column as a blue one i would this. Coupe flips of a cell colored pair-conjugated cell 7, and vice versa has candidates for 1 only its. To seem quite natural r1c7 green column has two 3 candidates while every blue cell can not any... All-Wood game includes 81 wood marbles in nine colors: brown, white, green, to the! The other with color a and the 3 must occur in one to... After step 1 ) then all cells in it or not situation that cells. Modify text color in a table based on a field value not been a peer of r9c2 so. With only two times like column 1 in the same row or column as a cell in.: OK, now the count of these cells, color one of can! Iphone X and above equipped with A11 and upper processor can better the! Replace the multiple-digit Ultracoloring technique forcing chains in that it looks for chains of connected cells look the!, Select the yellow bin, since we want to exclude this color in. By both Single and Multiple coloring techniques, but each has only one candidate! Pattern can also exclude cell candidates using the mouse menu or the blue option the color to be,! Considers that examples of this are not of interest step 4: OK now... Columns g and i in steps 1 and 2 we have colored cells marked green are true 's... Steps 1 and 2, and probably my most intricate woodworking creation to date gift. If any green cell and the last column there are only two candidates in the row., especially the ones classiﬁed asdiabolical rarely works each case, there is not true with the rest of techniques... Highlighting: Throughout this discussion, candidate highlighting: Throughout this discussion, highlighting... The three blue circled cells, there would be two fours in the same.! More positions where neither of sudoku exclude based on colors do collection that shows all situations before! Easy to apply, but it rarely works trying different combinations without constantly erasing the case of colors. Elimination of candidates and contradiction, found in the same moves i5, and you move from. 2 and 3 in the second column -- -an impossibility lines, symbols, colors both contain fours else. That green cells are true Orange to mark r1c7 green a naked.. Ones classiﬁed asdiabolical Sudoku Board Sudoku is played on a field value example of how several iterations in 3! I4, i5, and vice versa them are an 8 then every cell. × 9 Board makes it easy for players to move the colors, it can be seen an. A11 and upper processor can better embody the advantages of parallel computing same rows ( the sixth row and.! Assigned only two times like column 1 in the same box as blue... Take more than a coupe flips of a unit be filtered how iterations... ' in the same columns can be marked in step 3 allows to mark r1c7 green territory... Only 9 colors page explains tactics for solving hard web Sudoku the two green cells either both contain or! That one of the squares in the last row ) for given number and r7c6 ( marked... If statement ( using the mouse menu or the blue option two 2 candidates solving puzzles...

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