Expert Sudoku
Expert Sudoku - Advanced Pattern Recognition
Expert puzzles require you to recognise multi-cell structures spanning the entire board. X-Wing alone opens more puzzles than any other single technique beyond the basics.
Hard puzzles can always be cracked by looking at one or two units at a time. Expert puzzles require you to simultaneously analyse patterns that stretch across two or three rows and two or three columns simultaneously - Specifically the "fish" family of techniques.
| Technique | Rows × Cols | Level Appears |
|---|---|---|
| Naked Single | 1 × 1 | Easy+ |
| Hidden Single | 1 unit | Medium+ |
| Naked Pair | 2 cells, 1 unit | Hard+ |
| X-Wing | 2 × 2 | Expert+ |
| XY-Wing | 3 cells | Expert+ |
| Swordfish | 3 × 3 | Expert (rare) |
- Choose a candidate digit (say, 4). Find all rows where that digit can only appear in exactly two columns - Let's call them column A and column B.
- If you find two such rows where the valid columns are the same (both confined to columns A and B), you have an X-Wing.
- The digit 4 must occupy one corner pair of the rectangle formed by these two rows and two columns. Either the top-left and bottom-right corners contain 4, or the top-right and bottom-left do.
- Either way, column A and column B outside these four cells cannot contain a 4 - Eliminate it from all other cells in both columns.
- The same logic works with columns as the base and rows as the cover.
- Find a "pivot" cell with exactly two candidates: {A, B}.
- Find two "pincer" cells - One visible from the pivot with candidates {A, C}, another also visible from the pivot with candidates {B, C}.
- Any cell that can see both pincers cannot contain C, because whichever way the pivot resolves (A or B), one of the pincers will be forced to C.
- Eliminate C from all cells in the intersection of both pincers' visibility zones.
- Always fill in complete candidate notes before scanning for fish patterns
- Look for digits that appear in only 2 cells within a row or column - These are the X-Wing candidates
- The techniques hub has visual diagrams for all fish patterns
- Practise by solving one Expert puzzle per day - Pattern recognition improves rapidly
- After mastering X-Wing, try Swordfish: same idea extended to three rows and three columns
Typical move distribution across an Expert solve:
| Trap | Avoid It By |
|---|---|
| Skipping Hidden Singles before looking for X-Wing | Always exhaust simpler techniques first |
| Applying X-Wing eliminations to wrong rows/cols | Eliminations are in the cover lines, not the base lines |
| Forgetting to update notes after eliminations | Delete candidates immediately after each deduction |
| Hunting for Swordfish before X-Wing | Swordfish is rare; X-Wing appears far more often |
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