GridWits
Extreme tier Technique 18 of 20 Used by Smart Hint

Surface Triple

Two overlapping groups of runs differ by three cells — subtracting their clue totals ties those three digits together, ruling out any that can't be completed.

How it works

  1. 1The down clues cover the tinted block for 4 + 7 = 11; the across clues cover it plus the row's last three cells for 4 + 31 = 35.
  2. 2So those three cells total 35 − 11 = 24.
  3. 3Three different digits reaching 24: the two biggest are 9 and 8, so the smallest of the three can be no less than 24 − 17 = 7.
  4. 4A 5 anywhere among them is impossible. Strike it from all three.
4 7 4 1 3 1 3 31 1 3 4 6 5 7 8 9 5 7 8 9 5 7 8 9
  • Cells that establish the pattern
  • Where the conclusion lands
  • Digit ruled out
Next in the ladder Agreement →

Whichever of a cell's candidates turns out true, every surviving line of play forces the same digit onto some other cell — so commit it.