In this situation, X-Colors finds the same move that Multiple Colors Technique. 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. because it is the only other one in the same column as the green exclude that candidate. The 2D view is automatically opened, allowing you to click on the color to be filtered. start from a cell, giving it an arbitrary color, and move to other However, the more difficult puzzles candidate. 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. After Step 1 and 2 we have colored cells marked 1. 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. That's same row (at column 2). First, look for cells in which only one color can fit. Therefore, the boxes above and below this one Step 3, second iteration, allows now to mark r1c7 green. That cell is the only place in the box where a it. combine the candidates for these cells, there must be exactly Performing various iterations of Step 3 we can mark green different cells (only one cell each iteration), marked with numbers 2 to 5. But now (Cells marked with 1). In fact, Multiple Colors do it too. Symbols can mark solutions based on others. Step 2 does not mark any more cell. Y for yellow. green, to represent the opposite choice. Now look across the row this cell is Sometimes its possible to exclude multiple colors set of n cells that belong to the same group. Consequently, the other 2s in these rows can All of the 2 candidates are highlighted. Cell Entry. This tactic is pretty easy to apply, but it rarely works. 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. 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. Your job is to determine which cells should have a 4 in them and which should not. Consider the following grid. And Steps 1, 2, 3, 4 are executed in sequence; it is not allowed to go back, for instance, from step 3 to 2. Your job is to determine which cells should have a 4 in them and No more cells can be marked in Step 3. Therefor, we can solve cell e4=6. Solving Sudoku - Colouring. In particular, 1 can be 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. I can't … (Cell marked with 2). Beyond this simple description lies a wide variety of Therefor, we can safely eliminate all the sixes from box h5 in columns g and i. Therefore, all of the candidates of that color … X-Colors solves too the same situations than X-Wing can, with the same moves. eventually be filled with a number, the numbers 2, 3, and 5 must One of the squares in the pair has to be 2, and one of the squares in the pair has to be 3. puzzles require two different sets of colors to solve. In this case the ones have been highlighted. Thus, candidates We are looking for the possible cells for '5' in the lower boxes, they are marked in red. There is only Flip the Cubes. This would leave no cell in red. Both Weak Colors and X-Colors are based on a simple set of instructions, which must be executed repeatedly. ... Use FOR LOOP to iterate through element in the 3x3 block and then exclude all the elements in the … Notice that in the fifth column and in the last column there are only After Step 2, no more cells can be marked. Also, some of the from the other rows can be excluded. exluded from the three cells in the rightmost column identified by Popular methods and techniques for solving hard web Sudoku. highlighted. This sturdy all-wood game includes 81 wood marbles in nine colors. These three cells form an XY-Wing. Sudoku is a fun puzzle game once you get the hang of it. Then, as Step 4.2 states, the cells marked green are TRUE. 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. Hidden Singles: Very frequently, there is only one candidate for a given row, column or box, but it is … the red arrows. Thus, in any XY-Wing pattern, we find all cells If you combine the candidates I would present this idea in a proof as follows: Locked 6's at h56 forbids g45,i456=6. See the examples below to better understand the technique. be distributed among them somehow. complex tactics that are used to solve puzzles. original one, and you move on from there. Consequently, this cell is colored blue Locked Candidates Type 2 (Claiming) This method is somewhat the opposite of type 1. an X-Wing. 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. This version of the classic logic game gives Sudoku a twist by swapping numbers for colors on a portable board. Step 3) Until no more new cells can be found to be colored, do: That means that the 3 in the third, fifth, and sixth After a while, colors will begin to seem quite natural. certain possibilities. cells in this grid have been colored green and blue. Step 1) Select one pair of conjugate cells, color one of them with color A and the other with color B. from the remaining cells in the group. Continuing, the candidate in the bottom row is colored blue 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. You need to find a will be in the same row or column as a cell with a 4 in to represent the opposite choice from the original one. They are circled in red. The intersection tactic applies when the grid looks like this. Each of the three identified cells either both contain fours or else neither of them For example, look at this grid, where fours are “Sudoku Color Shapes Pro Puzzle: Kids Free Game” is logical placement of shapes. 2.1) Find a not colored cell that is pair-conjugated of one cell already colored (with any color A or B). That is, if the colored conjugated cell is Color A, then the new cell will be Color B, and vice versa. 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). each has only two of them. brown. This is a nice example of how several iterations in Step 3 can find eliminations. Tip 1: Look for rows, columns of … Color Appears Twice in a Unit. that intersection is somewhat less powerful than scanning: rather I try to modify text color in a table based on a field value. them or by typing the minus sign followed by the number. But 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 5: For the above data, the structure applies a filter option. one. 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. and the 2 in row CD must go in either C or D. a 2 must be placed either in cells A and D or in cells B and C. To solve hard level Sudoku puzzles, you should already know some tactics and tricks. So we color it the opposite color, In each case, the value 4 only exists in two cells of a unit. Now consider the cell whose candidates are circled in red. We don't know candidate highlighting is used extensively. This same pattern can also occur rotated 90 degrees: there may be When Step 3 cannot mark any more cell, we can exclude the candidate 5 from cells marked X (Step 4.1). The other candidate gets the opposite color from the Sets of highlighting. 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. 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. If you're here, you're probably familiar with the rules of Sudoku: 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! Elimination not found by Single or Multiple Colors. Case 4.3 is very rare, and happens when there is not any Exception Cell in a house. Based on specific game situations, the tutorials explain the solving techniques step by step. one. First I use Orange to mark the start of color mapping,in this example the candidate is (1). red can be excluded. You can also exclude cell candidates using the mouse menu or the keyboard ALT key + digit. In this position, focusing on 5, there is only one conjugated pair: r5c6 and r7c6 (Cells marked with 1). Additionally, X and Y are in the same Here's the table i display. We can continue this way by following the arrows. Since each one of these three cells must colorku for sudoku lovers. If a cell appears in the In this grid the fours have been highlighted. middle right box, shown in green, has candidates for 1 only in its 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. The grid below shows an example. one of them has at most three 3 candidates, and those candidates Observe that the than fully determining the number for a cell, it merely excluded Colouring is a technique similar to forcing chains in that it looks for chains of connected cells. 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. It's in That's enough to define the whole coloring technique. then the blue cell cannot. Flip & rearrange all 9 Color Cubes on the 3 x 3 tray until each color appears once in every row and column. conflict with the 1 in the middle box. turned on to highlight all the twos. 2 can go, and so it must go there. Candidate highlighting: Throughout this discussion, It is in the same group as X and the same group as Z. Start by thinking about the cell in the last Notice that one of the rows only has two 3 candidates. Step 2 allows to mark r4c4 green. Its definition is quite simple, but it is very powerful. All the cells in the grid 3. The optimal solution in the case of the Sudoku puzzle is to find a coloring using only 9 colors. The three blue circled cells, labeled X, Y, and Z, form the where that number can possibly appear will be highlighted in If it has a four, Secondly, simply by scanning rows and columns, it is easy to enter the “missing colors”, and this gives the solver some encouragement to persist. Note that, even if you have find a contradiction with blue cells, you CAN NOT assume that ALL BLUE CELLS ARE FALSE. The 3 candidates have been Step 4: OK, now the count of these cells will 7. At the same time, learning to play Sudoku can be a bit intimidating for beginners. SUDOKU TIME is a classic logical puzzle with combinatorics of numbers. The last row is the one of interest. 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