GridWits
Hard tier Technique 19 of 31 Used by Smart Hint

Border 1-2-1

A 1-2-1 run on the border forces the middle border edge and rules out both 1s' inward and outer sides.

How it works

  1. 1The classic "1-2-1", checked as one run of three rather than pair by pair — some ways of satisfying any two of these clues still fail the third.
  2. 2The run sits against the top of the board, which is what makes it bite: those border dots have only three edges each, and all of them belong to these three cells, so the "0 or 2 lines" rule can be applied inside the window.
  3. 3Work through the combinations that survive and the middle 2 has its top drawn in every one, while each 1 is left holding its single line on either its top or the side it shares with the 2.
  4. 4Draw the 2's top, and cross off both 1s' bottoms and both their outer sides. Try this same run in the middle of a board and it forces nothing at all — the border is the whole trick.
1 2 1
  • Edge the technique adds
  • Edge ruled out
  • Cells that establish the pattern
Next in the ladder Three 3s in a Row →

3-3-3 side by side: all four vertical edges crossing the run are lines.