![]() Multi-Colors can be replicated by X-Chain by the reverse of the above, and treating some of the strong links induced by the color clusters as weak links. X-Chain can be replicated by Multi-Colors by treating each pair of cells connected by a strong link as a color cluster and weak links as bridges between clusters. One proof for this is that we can formulate these two Forcing Chains, with the second due to the X-Chain: Complete the sudoku by filling in the grid with the digits 1 through 9 such that every row, column, and 3x3 box contains exactly one of each digit. Welcome to eXtreme Sudoku - the ultimate game for Sudoku enthusiasts Experience the thrill of solving Sudoku puzzles with just 17 given clues - the minimum number of clues possible With a wide range of puzzles available, you can test your skills and push your limits with each one you solve. ![]() This means that r8c4, which is seen by both r4c4 and r8c7, cannot contain 3. Extreme Sudoku Puzzle WARNING: You are on the Weekly Extreme Sudoku Sudoku Page. The two ends of the chain are r4c4 and r8c7, and either end not being 3 will result in the other end being 3. In Nice Loop notation, the X-Chain can be expressed as follows: In this example, the X-Chain is marked using blue lines, with solid lines indicating strong links and dotted lines indicating weak links. This is an example of a X-Chain of length six for the digit 3. Also, a X-Chain is also a Double Implication Chain and an Alternating Inference Chain. The X-Chain technique and the Multi-Colors technique are equally powerful. ![]() Designed for iPad 4. The target digit can be eliminated from any cell that is seen by both ends of the X-Chain. Extreme Difficult Sudoku 2500 4+ Heat Your Brain Ohte, Inc. In other words, the chain involves an even number of cells having the target digit as a candidate. ![]() A X-Chain is a single-digit solving technique which uses a chain consisting of links that alternate between strong links and weak links, with the starting and ending link being strong. ![]()
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