GridWits
Medium tier Technique 4 of 20 Used by Smart Hint

Compound Comparison

A cell below several different cells in its own row or column must leave enough larger values for all of them; the same counting works above several cells.

How it works

  1. 1The middle cell is smaller than two different cells in its own row.
  2. 2Those two cells must contain two different larger values, because a Futoshiki row cannot repeat a number.
  3. 3On a 5×5 board, a 4 has only one larger value available. It cannot leave two distinct larger values for its neighbours, so remove 4 from the middle cell.
  4. 4The same count works upside down: a cell greater than two cells in one line cannot be 1 or 2.
2 3 4 5 1 2 3 4 2 3 4 5 > <
  • Candidates this technique rules out
  • Smaller → larger — The arrow follows the direction imposed by the inequality sign.
  • Cells read together — The connecting line shows which cells combine to make the deduction.
  • Conclusion — The coloured candidate, or the final arrow when it lands outside the pattern, shows the result.
Next in the ladder Naked Pair →

Two cells in a row or column share the exact same two candidates — remove those values from the rest of the line.