How to solve sudoku - Solving sudoku strategies
These are the strategies used to solve a Sudoku.
There are many different solving sudoku strategies discovered .
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Advanced Sudoku Strategies - ColoringSimple Colors
Uses only 2 colors to form a single color cluster.
Multi-Colors | Supercoloring
Uses multiple colors (4, 6 or a higher multiple of 2) to form multiple color clusters.
Extends Simple-Colors by the use of hinge linkages.
Uses only 2 colors, but also takes the implications for each color into account.
A technique that uses a single cluster to eliminate candidates outside the cluster.
A technique that uses a single cluster to detect a contradiction in one of the colors.
A technique that uses multiple clusters to eliminate candidates outside these clusters. Same as Multi-Colors.
3D Medusa Coloring | Advanced Coloring
A set of techniques that uses colors on multiple digits.
Solving Sudoku Strategy - SinglesFull House
A house with a single empty cell.
The last instance of a digit.
Hidden Single | Pinned Digit
A single candidate remaining for a digit in a house.
Naked Single | Forced Digit | Sole Candidate
A single candidate remaining in a cell.
Advanced Sudoku Strategies - FishX-Wing
2 rows vs. 2 columns
3 rows vs. 3 columns
4 rows vs. 4 columns
5 rows vs. 5 columns
Fish patterns with additional candidates in a single box.
Incomplete basic fish patterns with a fin.
Fish patterns that include box constraints.
Fish patterns with mixed sets of constraints.
A fish pattern with indirect connections to a candidate which can be eliminated.
Advanced Sudoku Strategies - Chains and LoopsForcing Chain
Generic term for any type of chain.
Single digit chain of cells.
Chain of bivalue cells.
Simplified form of XY-Chain, involving only two digits.
Fishy Cycle| X-Cycle
Single digit continuous loop.
Eliminations caused by loops of odd length.
Several types of loops formed by cells following strict rules and a notation system.
Double Implication Chain| DIC
There are 2 interpretations circulating. The first originates from a reliable source .
A Forcing Chain that has implications in both directions.
2 Forcing Chains starting from a bivalue cell or a bilocal unit showing a verity.
Alternating Inference Chain| AIC
A chain where each node is a candidate, with alternating strong and weak inference.
Solving Sudoku Strategy - IntersectionsLocked Candidates| Intersection Removal | Line-Box Interaction | Pointing (Pair, Triple) | Claiming
Candidates are locked in the intersection of a line and a box.
A Naked Pair located in a single intersection.
A Naked Triple located in a single intersection.
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.
Solving Sudoku Strategy - SubsetsNaked Pair
2 cells with candidates for 2 digits.
3 cells with candidates for 3 digits.
4 cells with candidates for 4 digits.
2 digits with candidates in 2 cells.
3 digits with candidates in 3 cells.
4 digits with candidates in 4 cells.
Solving Sudoku Strategy - WingsXY-Wing
Three cells with pivot cell XY and two pincer cells XZ and YZ.
Three cells with pivot cell XYZ and two pincer cells XZ and YZ.
Four cells with pivot cell WXYZ and three pincer cells WZ, XZ and YZ.
Solving Sudoku Strategy - Single Digit PatternsSkyscraper
Two parallel strong links, weakly connected at the base.
Two crossing strong links, weakly connected in a box.
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.
Solving Sudoku Strategy - UniquenessUniqueness Test
A set of techniques that avoids the Unique Rectangle deadly pattern.
Bivalue Universal Grave
A set of techniques that avoids the Bivalue Universal Grave deadly pattern.
A set of techniques that avoids the BUG Lite deadly pattern.
Solving Sudoku Strategy - Almost Locked SetsALS-XZ rule
2 Almost Locked Sets with restricted common digit X perform eliminations for common digit Z.
3 Almost Locked Sets with 2 restricted common digits Y and Z perform eliminations for common digit X.
A stem cell of N candidates pointing to N petals, each an Almost Locked Set.
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- Chains and Loops
- Single Digit Patterns
- Almost Locked Sets