Hidden Singles Strategy

The Hidden Single is an essential beginner strategy. It finds where a specific number can only go in one place within a row, column, or box.

Difficulty (Foundation skill)
Beginner
Frequency (Every puzzle)
Very High
Units to scan (9 rows + 9 cols + 9 boxes)
27
Used in (All difficulties)
Easy-Hard

What Is a Hidden Single?

A Hidden Single exists when a particular number can only be placed in one cell within a row, column, or 3x3 box. The word "hidden" comes from the fact that the cell may contain several candidate numbers - the single is hidden among them. However, when you examine the entire unit (row, column, or box), you discover that this specific number has no other valid placement.

For example, suppose you are looking at a box and the number 7 has been eliminated from all cells except one. Even if that remaining cell also has candidates 2, 5, and 7, the 7 is a Hidden Single - it must go there because no other cell in the box can contain a 7.

Hidden Singles are also called "Unique Candidates" in some Sudoku literature. For more terminology, visit our Sudoku glossary.

How to Find Hidden Singles: Step-by-Step

  1. Choose a number to search for - Pick any number from 1 to 9. Many solvers start with the most frequently placed number on the board, as its remaining positions are more constrained.
  2. Scan rows for that number - Go through each row that does not yet contain your chosen number. Identify which cells in that row could still hold the number by checking column and box constraints.
  3. Scan columns for that number - Repeat the process for each column missing the chosen number. Check which cells are not blocked by row and box placements.
  4. Scan boxes for that number - For each 3x3 box missing the number, determine which empty cells could contain it. This is the cross-hatching technique - drawing imaginary lines from existing placements of that number.
  5. Identify sole placements - If your chosen number can only go in one cell within any row, column, or box, that cell is a Hidden Single. Place the number and move to the next digit.

When to Use Hidden Singles

Hidden Singles should be used alongside Naked Singles as part of your fundamental solving routine. Together, these two techniques can solve most easy puzzles and a significant portion of medium puzzles.

In hard and expert puzzles, Hidden Singles still play a crucial role - they frequently appear after you have made eliminations using more advanced strategies. Every time you remove a candidate from a cell, check whether you have created a new Hidden Single in the affected row, column, or box. For a complete overview of solving approaches, see our strategies guide or start with how to play Sudoku.

Difficulty Level & Puzzle Types

Hidden Singles is classified as a beginner-level technique, alongside Naked Singles. Despite being beginner-friendly, it remains one of the most powerful and frequently used strategies at every level of play.

Easy

Very frequent - most placements come from singles

Medium

Frequent - core technique combined with pairs

Hard

Regular - appears after advanced eliminations

Expert

Steady - revealed by complex chain-based techniques

Tips for Mastering Hidden Singles

  1. Practice the cross-hatching method: for each number, mentally draw lines through rows and columns where it already exists to narrow down where it can go in each box.
  2. Start with numbers that appear most on the board - they have fewer remaining placements, making Hidden Singles easier to spot.
  3. After every placement, immediately scan the affected row, column, and box for new Hidden Singles created by the elimination.
  4. Use pencil marks to visualize candidates - Hidden Singles become obvious when you can see that a number appears as a candidate in only one cell of a unit.

Frequently Asked Questions

What is a Hidden Single in Sudoku?

A Hidden Single occurs when a specific number can only be placed in one cell within a row, column, or 3x3 box, even though that cell may have multiple candidates. The number is 'hidden' among other possibilities in the cell but is uniquely determined by the constraints of its unit.

What is the difference between Naked Singles and Hidden Singles?

A Naked Single focuses on the cell - it has only one candidate remaining. A Hidden Single focuses on the number - a particular digit can only go in one place within a row, column, or box. Both yield a definite placement, but they approach the problem from different angles.

How do I spot Hidden Singles more easily?

Use the 'cross-hatching' technique: pick a number (say 5) and scan each row, column, and box to see where that number can still be placed. If there is only one valid cell in a unit, you have found a Hidden Single. Pencil marks help make this visual.

Are Hidden Singles needed for all puzzle difficulties?

Yes. Hidden Singles are used across all difficulty levels. In easy puzzles, they appear frequently. In harder puzzles, they often emerge after you have applied more advanced elimination techniques, revealing new Hidden Singles as a result.

Should I look for Naked Singles or Hidden Singles first?

It depends on personal preference, but many solvers check both simultaneously. Naked Singles are often faster to spot when cells have few candidates, while Hidden Singles are found by scanning for where a number can go within a unit. Using both together covers the most ground efficiently.

Related Techniques

Related Glossary Terms

View full glossary

Practice by Difficulty

See it in action: a Hidden Single

4
8
5
5
5
5
5
5

Where can the digit 5 go in row 1? Two cells already hold 4 and 8 — but the rest are empty.

Step 1 of 4 — full interactive demo available with JavaScript enabled

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