Medium Arrow Sudoku
Ready to sharpen your skills? Medium Arrow Sudoku puzzles introduce interactions between the variant constraint and classic Sudoku techniques. You'll need to combine both skill sets to progress.
What to expect at Medium level
Medium Arrow Sudoku puzzles require you to combine the variant constraint with standard Sudoku deduction - Naked pairs, hidden singles, and unit scans. The constraint is more tightly woven into the grid, so you'll need to think a few steps ahead.
Best suited for players comfortable with Easy Arrow Sudoku who want to build their pattern recognition.
Difficulty overview
About Arrow Sudoku
Arrow Sudoku places arrows on the grid, each starting from a circled cell. The digits in all cells along the arrow (not including the circle) must sum to the digit placed in the circled cell. Since the maximum digit is 9, long arrows with many cells are highly constrained. Arrow Sudoku often combines beautifully with standard elimination and candidate logic.
Solving Techniques for Medium Level
| Technique | Description | Level |
|---|---|---|
| Arrow Sum Bounding | The circle digit equals the sum of all arrow shaft cells. A 3-cell arrow with circle 5 means the three shaft cells average under 2 — severely constraining options. | Beginner |
| Max/Min Arrow Analysis | The maximum sum of N cells is 9+8+7+…; the minimum is 1+2+3+…. If the circle digit falls outside these bounds, a constraint error exists. | Intermediate |
| Bifurcation on Short Arrows | For 2-cell arrows with a small circle (e.g., 3), only (1,2) or (2,1) works — enumerate cases to find forced placements quickly. | Beginner |
| Arrow–Region Interaction | Arrow cells sharing a box or row with the circle create indirect constraints — combine the sum equation with standard Sudoku uniqueness. | Intermediate |
Master these, then take on Hard Killer Sudoku to learn Advanced techniques.