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Box line reduction

The box line reduction technique is an advanced strategy that is used when the possible locations of a number in a row or column are entirely within a single region or box.

Use when a digit's candidates inside a box all sit on the same row or column.

  1. Inside the box, every candidate for the 3 lies on the same row.

    Box line reduction —  1
  2. So the 3 is removed from the rest of that row outside the box.

    Box line reduction —  2

For example, if in an upper box numbers 4 can only appear in cells that are part of row 2, then you can eliminate 4 as a possibility in the other cells of that box. This technique improves efficiency when solving complex sudokus.

  • Confusing the direction: the elimination happens along the line, outside the box, not inside it.
  • Applying it when the candidates span two rows or columns — it only works when they share one.

Frequently asked questions

Is a pointing pair the same as box/line reduction?
They are the two sides of the same idea: a pointing pair eliminates along a line from a box; box/line reduction eliminates within a box from a line.