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What Is the Digit Rule in Sudoku?
What Is the BUG Rule in Sudoku?
Understand the BUG (Bivalue Universal Grave) rule in Sudoku, when it applies, and how it resolves near-complete grids.
The BUG rule, short for Bivalue Universal Grave, is an advanced Sudoku situation that appears near the end of a puzzle. It helps you avoid guessing when almost every unsolved cell has exactly two candidates.
This guide explains what a BUG state is, why it happens, and how to apply the rule safely.
What is a BUG state?
A classic BUG state has two characteristics:
- All unsolved cells are bivalue (exactly two candidates), except one.
- The grid would have multiple solutions if you ignored that exception.
The rule tells you which candidate must be placed in the exception cell to preserve uniqueness.
Why a BUG state appears
In a nearly solved grid, candidates often collapse into pairs. If every cell is bivalue, the grid can fall into a “two-solution” symmetry. The exception cell with three candidates breaks that symmetry.
The BUG rule uses that break to determine the correct digit.
How the BUG rule works
When you are in a true BUG state, the exception cell has three candidates. The correct digit is the one that appears three times in a row, column, or box. That digit must be placed to prevent a multiple-solution situation.
Step-by-step BUG checklist
- Confirm that all unsolved cells are bivalue except one.
- Identify the exception cell with three candidates.
- Find which candidate appears three times in a unit.
- Place that digit in the exception cell.
If any step is false, it is not a BUG state.
A simple example scenario
Imagine a grid where every remaining cell is {2, 7} except one cell that is {2, 7, 9}. If digit 9 appears three times in one unit across candidates, 9 must be placed in that exception cell. Otherwise, the grid could resolve two different ways.
Common mistakes
- Applying BUG when there are two exception cells.
- Missing a hidden candidate that makes another cell trivalued.
- Placing a digit without checking all units.
When to use BUG
Use it only after standard techniques are exhausted and the grid is near completion. If you still have many cells with three or more candidates, BUG does not apply.
Practice tip
After finishing a puzzle, go back and see whether a BUG pattern appeared in the late stage. This builds recognition and confidence so you do not misapply it during a timed solve.
FAQ
Q1: Is BUG a form of guessing?
No. It is a logical resolution of a special grid state.
Q2: Is BUG common?
It appears occasionally in hard puzzles but is not frequent.
Q3: Do I need BUG to solve most puzzles?
No. Most puzzles are solved with simpler techniques.
Q4: Can I use BUG on paper?
Yes, but accurate candidate notes are essential.
Q5: Is BUG related to uniqueness?
Yes. It resolves a pattern that would otherwise allow multiple solutions.
Q6: Should beginners learn BUG?
It is not necessary early, but it can be useful once you solve hard puzzles regularly.
Implementation notes
To make What Is the BUG Rule in Sudoku? actionable, pick one puzzle and apply the idea end-to-end without switching techniques. This disciplined pass makes errors easier to spot and helps the logic chain feel more natural. If you get stuck, step back and re-run the scan with a slower pace rather than forcing a guess.
Fast recap
- Start simple and complete the full scan
- Apply one elimination and verify all affected units
- Repeat the scan before changing techniques
This rhythm produces cleaner, more reliable progress.
Implementation notes
To make What Is the BUG Rule in Sudoku? actionable, pick one puzzle and apply the idea end-to-end without switching techniques. This disciplined pass makes errors easier to spot and helps the logic chain feel more natural. If you get stuck, step back and re-run the scan with a slower pace rather than forcing a guess.
Fast recap
- Start simple and complete the full scan
- Apply one elimination and verify all affected units
- Repeat the scan before changing techniques
This rhythm produces cleaner, more reliable progress.
Implementation notes
To make What Is the BUG Rule in Sudoku? actionable, pick one puzzle and apply the idea end-to-end without switching techniques. This disciplined pass makes errors easier to spot and helps the logic chain feel more natural. If you get stuck, step back and re-run the scan with a slower pace rather than forcing a guess.
Fast recap
- Start simple and complete the full scan
- Apply one elimination and verify all affected units
- Repeat the scan before changing techniques
This rhythm produces cleaner, more reliable progress.
Implementation notes
To make What Is the BUG Rule in Sudoku? actionable, pick one puzzle and apply the idea end-to-end without switching techniques. This disciplined pass makes errors easier to spot and helps the logic chain feel more natural. If you get stuck, step back and re-run the scan with a slower pace rather than forcing a guess.
Fast recap
- Start simple and complete the full scan
- Apply one elimination and verify all affected units
- Repeat the scan before changing techniques
This rhythm produces cleaner, more reliable progress.
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