Pointing Pairs Strategy

When a candidate within a box is confined to a single row or column, it can be eliminated from the rest of that line outside the box.

Difficulty (Locked candidates)
Intermediate
Direction (Box restricts a line)
Box→Line
Cells cleared (Up to 6 along the line)
6
Common in (Hard puzzles)
Hard

What Is a Pointing Pair?

A Pointing Pair arises from the overlap between two of Sudoku's constraint types: boxes and lines (rows or columns). Every 3x3 box intersects with three rows and three columns. When a particular candidate number within a box can only appear in cells that all lie in the same row (or column), the number "points" along that line. Since the number must go somewhere in that box - and it can only go in that one line - it cannot appear elsewhere in the line outside the box.

For example, if the number 3 within box 1 can only be placed in row 2 (perhaps in cells R2C1 and R2C2), then 3 can be eliminated from all other cells in row 2 that are outside box 1 (cells R2C4 through R2C9). The pair of cells "points" along row 2, hence the name.

When three cells in the box are involved instead of two, the pattern is called a Pointing Triple, but the elimination logic is identical. For more terminology, visit our Sudoku glossary.

How to Apply Pointing Pairs: Step-by-Step

  1. Choose a box to examine - Select any 3x3 box. Boxes with 3-5 empty cells are ideal, as they have enough constraints to produce pointing patterns without being too sparse.
  2. Pick a candidate number - For each number not yet placed in the box, identify which empty cells contain it as a candidate. You need accurate pencil marks for this.
  3. Check alignment - Determine whether all occurrences of the candidate within the box fall in the same row or the same column. If they do, you have found a Pointing Pair (or Triple).
  4. Eliminate outside the box - Remove the candidate from all cells in that row (or column) that are outside the current box. These cells cannot contain the number because the box already claims it for its intersection with that line.
  5. Scan for follow-up opportunities - After eliminating, check for new Naked Singles, Hidden Singles, or additional pointing patterns in the affected row or column.

When to Use Pointing Pairs

Pointing Pairs are a go-to technique when Naked Singles and Hidden Singles are not enough to make progress. They are among the easiest intermediate techniques to learn and are highly effective on medium and hard puzzles.

Many solvers check for Pointing Pairs in combination with Box-Line Reduction as a natural pair of complementary techniques. Together, they thoroughly exploit box-line intersections before moving to more complex methods like Naked Pairs. See our strategies guide for the full hierarchy, or start with how to play Sudoku.

Difficulty Level & Puzzle Types

Pointing Pairs is classified as an intermediate-level technique. It is one of the first intermediate methods most solvers learn because the logic is intuitive and visual.

Easy

Rarely needed - singles are typically sufficient

Medium

Commonly needed - a core medium-level technique

Hard

Frequently used alongside pairs and triples

Expert

Always checked - foundational for expert solving

Tips for Mastering Pointing Pairs

  1. Systematically scan each box for each missing number. Ask: "In this box, which cells can hold number X? Are they all in the same row or column?"
  2. Pointing Pairs are easiest to find when a box has few remaining cells for a given number. Boxes with only 2-3 cells containing a candidate are prime targets.
  3. Always check the complementary technique - Box-Line Reduction - at the same time for maximum efficiency.
  4. After eliminating candidates, recheck the affected line for new Hidden Singles. Pointing Pairs frequently create them.

Frequently Asked Questions

What is a Pointing Pair in Sudoku?

A Pointing Pair occurs when a candidate number within a 3x3 box is restricted to a single row or column. Since that number must go somewhere in that row or column within the box, it can be eliminated from all other cells in that row or column outside the box.

What is the difference between a Pointing Pair and a Pointing Triple?

A Pointing Pair involves two cells in the same box and row (or column) that are the only cells containing a specific candidate. A Pointing Triple is the same concept but with three cells. The elimination logic is identical - the candidate is removed from the rest of the row or column outside the box.

How does Pointing Pairs relate to Box-Line Reduction?

They are complementary techniques that exploit the same box-line intersection. Pointing Pairs start with candidates in a box and eliminate from the row/column. Box-Line Reduction starts with candidates in a row/column and eliminates from the box. They are essentially the same logic applied in opposite directions.

How common are Pointing Pairs?

Pointing Pairs are quite common in medium and hard puzzles. They are one of the most frequently useful intermediate techniques and are often the bridge between basic singles strategies and more complex methods like X-Wings.

Can Pointing Pairs solve easy puzzles?

Easy puzzles can typically be solved with Naked Singles and Hidden Singles alone. Pointing Pairs are rarely needed for easy puzzles but become essential starting at the medium difficulty level. They are a core technique for any solver moving beyond beginner strategies.

Related Techniques

Related Glossary Terms

View full glossary

Practice by Difficulty

See it in action: a Pointing Pair

5
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We're tracking the digit 5. Look at the upper-left 3×3 box. Where can 5 fit there? Only in two cells of row 1.

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

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