Puzzle Fuel
Intermediate

Box-line reduction

The mirror move: a digit on a line is trapped inside one box.

Box-line reduction (locked candidates, type 2) is the same idea as pointing line, viewed from the other end of the telescope. Take a row or a column. If every place where a particular digit could still land falls inside one box, then the digit's eventual home is one of those cells — and you can remove it from the rest of that box.

Like pointing line, it's an elimination move. It doesn't write anything new on the board; it just makes the candidate grid honest.

When the move applies

Watch rows and columns that have a digit pinned to just a couple of cells. If those cells happen to share a box, the move fires.

The procedure

  1. Pick a row or column and a digit.
  2. Find every cell on that line where the digit is still a candidate.
  3. If all those cells sit inside one box, remove the digit from the rest of that box.

On a small board

444
Row 2 forces 4 into one of three cells — all inside box 1. The rest of box 1 loses 4.