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The one rule that governs everything
Fill the 9x9 grid so that every Row, Column, and 3x3 Block contains the numbers 1 through 9 exactly once. No number may repeat in any house.
Work through these in order at the start of every puzzle
Pick a number (e.g., 1) and "block out" rows/columns where it already exists to find the only empty spot in a 3x3 block. Repeat for all numbers 1–9.
Always check for full houses before doing anything else. Also works for columns and boxes.
Look for any row, column, or block with 8 cells filled. The 9th cell is guaranteed — it must be the missing number. Always grab these first!
If a cell has only one possible candidate left because all other numbers (1–9) are visible in its row, column, or block — fill it immediately.
If a number can only fit in one specific cell within a row, column, or block (even if that cell has other candidates), it must go there.
Hidden singles are easy to miss. Always ask: "where can this number go in this box?" — not just "what goes in this cell?"
From beginner scanning to intermediate logic
| Technique | When to Use | How It Works |
|---|---|---|
| Scanning | At the very start | Scan blocks in groups of three (chutes) to see where numbers repeat and force placement. |
| Pencil Marks | When stuck | Write small "candidate" numbers in the corners of empty cells. Numbers 1–3 top, 4–6 middle, 7–9 bottom. |
| Naked Pair | Middle of the game | Two cells in one house contain the same two candidates (e.g., 2, 7). Remove 2 and 7 from all other cells in that house. |
| Naked Triple | Medium/Hard puzzles | Three cells in one house share exactly three candidates between them. Eliminate those three from the rest of the house. |
| Pointing Pairs | Middle of the game | If a number only fits in one row within a 3x3 block, it cannot appear elsewhere in that same row outside that block. |
| Box-Line Reduction | Middle of the game | The reverse of Pointing Pairs. If a candidate in a row/column falls entirely within one block, remove it from the rest of that block. |
| X-Wing | Hard/Expert puzzles | A candidate forms a rectangle across two rows and two columns. Eliminate that candidate from those two columns in all other rows. |
The habits that separate good solvers from great ones
The vocabulary every solver needs to know
Want the full glossary? Visit our Complete Sudoku Glossary page for every term from A to X-Wing.
| Level | Key Focus | Most Used Technique |
|---|---|---|
| 🟢 Beginner | Scanning & Rows | Cross-hatching + Full House |
| 🟡 Intermediate | Pencil Marks | Naked Pairs & Triples |
| 🟠 Advanced | Grid Interconnectivity | X-Wings & Pointing Pairs |
| 🔴 Expert | Multi-House Logic | Swordfish, XY-Wings & Uniqueness |