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Pointing Pairs

Locked candidates — when a box points a digit down a single line.

A pointing pair (or triple) is a locked candidate. If, within a box, a digit's only possible cells all lie in the same row or column, then that digit must be in the box — and therefore can be removed from the rest of that row or column outside the box.

Worked example

In the top-left box, candidate 5 appears only along the top row. So 5 is eliminated from the rest of that row outside the box (shaded cells).

How to apply it

1

Pick a box and a digit, and find every cell where the digit is still a candidate.

2

Check whether all of those cells share a single row or column.

3

If they do, the digit is locked to that line within the box.

4

Remove the digit from that row or column in the other two boxes it passes through.

When to use it

Pointing pairs and the reverse pattern, box-line reduction, are essential on hard and expert puzzles. They rarely place a digit directly but trim candidates so that singles reappear.

Frequently asked questions

What is box-line reduction?
It is the mirror of a pointing pair: when a digit in a row or column is confined to one box, you remove it from the rest of that box.