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XYZ-Wing Three cells with pivot cell XYZ and two pincer cells XZ and YZ. Further web references forthcoming) Wings XY-Wing Three cells with pivot cell XY and two pincer cells XZ and YZ. (The original reference to all these chains is the book "The Hidden Logic of Sudoku". Oriented chains are either 2D or 3D: - oriented 2D chains: xyt-chains, xyz-chains and xyzt-chains, together with their "hidden" counterparts: hxyt-chains, hxyz-chains and hxyzt-chains - oriented 3D chains: nrct-chains, nrcz-chains, nrczt-chains. The central idea is that the information collected from previous candidates in a chain (and/or from the target) can be used to select the next candidates. Oriented Chains Oriented chains are generalisations of the basic xy-chains.
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2 Forcing Chains starting from a bivalue cell or a bilocal unit showing a verity.Īlternating Inference Chain | AIC A chain where each node is a candidate, with alternating strong and weak inference.
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Uniqueness Uniqueness Test A set of techniques that avoids the Unique Rectangle deadly pattern. 3D Medusa Coloring | Advanced Coloring | Ultracoloring A set of techniques that uses colors on multiple digits. Color Wing A technique that uses multiple clusters to eliminate candidates outside these clusters. Color Wrap A technique that uses a single cluster to detect a contradiction in one of the colors. Color Trap A technique that uses a single cluster to eliminate candidates outside the cluster. X-Colors Uses only 2 colors, but also takes the implications for each color into account. Weak Colors Extends Simple-Colors by the use of hinge linkages. Multi-Colors | Supercoloring Uses multiple colors (4, 6 or a higher multiple of 2) to form multiple color clusters. Coloring Simple Colors Uses only 2 colors to form a single color cluster. Empty Rectangle A single-digit technique that makes use of a box whose candidates for that digit are contained within the union of a boxrow and a boxcol. 2-String Kite Two crossing strong links, weakly connected in a box. Single Digit Patterns Skyscraper Two parallel strong links, weakly connected at the base. Kraken Fish A fish pattern with indirect connections to a candidate which can be eliminated. Mutant Fish Fish patterns with mixed sets of constraints. Franken Fish Fish patterns that include box constraints. Sashimi Fish Incomplete basic fish patterns with a fin. 5 columns Finned Fish Fish patterns with additional candidates in a single box. Hidden Quad 4 digits with candidates in 4 cells. Hidden Triple 3 digits with candidates in 3 cells. Hidden Pair 2 digits with candidates in 2 cells. Hidden Subset N digits with candidates in N cells. Naked Quad 4 cells with candidates for 4 digits. Naked Triple 3 cells with candidates for 3 digits. Naked Pair 2 cells with candidates for 2 digits. Subsets Naked Subset N cells with candidates for N digits. Almost Locked Candidates A box-line intersection where the line or the box contains an Almost Locked Set, and the remaining cells in the line or box outside the intersection does not contain digits from the Almost Locked Set. Locked Triple A Naked Triple located in a single intersection. Locked Pair A Naked Pair located in a single intersection. Intersections Locked Candidates | Intersection Removal | Line-Box Interaction | Pointing (Pair, Triple) | Claiming Candidates are locked in the intersection of a line and a box. Naked Single | Forced Digit | Sole Candidate A single candidate remaining in a cell. Hidden Single | Pinned Digit A single candidate remaining for a digit in a house.
#Wikipedia sudoku strategy full#
Singles Full House A house with a single empty cell.
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